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Finding the Fourth Proportional to 315,473,923.20, 473,210,884.80 and 261,726,211.20

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Solution

The fourth proportional to 315,473,923.20, 473,210,884.80 and 261,726,211.20 is: 392,589,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,473,923.20 : 473,210,884.80 = 261,726,211.20 : x
  2. Step 2: Convert to fraction form
    315,473,923.20/473,210,884.80 = 261,726,211.20/x
  3. Step 3: Cross multiply
    315,473,923.20x = 473,210,884.80 × 261,726,211.20
  4. Step 4: Simplify right side
    315,473,923.20x = 123,851,691,977,303,664
  5. Step 5: Solve for x
    x = 123,851,691,977,303,664/315,473,923.20
  6. Step 6: Final answer
    x = 392,589,316.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.