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Finding the Fourth Proportional to 477,092.16, 715,461.12 and 140,040

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Solution

The fourth proportional to 477,092.16, 715,461.12 and 140,040 is: 210,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,092.16 : 715,461.12 = 140,040 : x
  2. Step 2: Convert to fraction form
    477,092.16/715,461.12 = 140,040/x
  3. Step 3: Cross multiply
    477,092.16x = 715,461.12 × 140,040
  4. Step 4: Simplify right side
    477,092.16x = 100,193,175,244.80
  5. Step 5: Solve for x
    x = 100,193,175,244.80/477,092.16
  6. Step 6: Final answer
    x = 210,008.01

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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.