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Finding the Fourth Proportional to 474,112.96, 654,222.14 and 280,526.60

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Solution

The fourth proportional to 474,112.96, 654,222.14 and 280,526.60 is: 387,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,112.96 : 654,222.14 = 280,526.60 : x
  2. Step 2: Convert to fraction form
    474,112.96/654,222.14 = 280,526.60/x
  3. Step 3: Cross multiply
    474,112.96x = 654,222.14 × 280,526.60
  4. Step 4: Simplify right side
    474,112.96x = 183,526,712,578.92
  5. Step 5: Solve for x
    x = 183,526,712,578.92/474,112.96
  6. Step 6: Final answer
    x = 387,094.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.