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Finding the Fourth Proportional to 706,059.33, 974,831.09 and 542,424.41

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Solution

The fourth proportional to 706,059.33, 974,831.09 and 542,424.41 is: 748,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,059.33 : 974,831.09 = 542,424.41 : x
  2. Step 2: Convert to fraction form
    706,059.33/974,831.09 = 542,424.41/x
  3. Step 3: Cross multiply
    706,059.33x = 974,831.09 × 542,424.41
  4. Step 4: Simplify right side
    706,059.33x = 528,772,178,842.91
  5. Step 5: Solve for x
    x = 528,772,178,842.91/706,059.33
  6. Step 6: Final answer
    x = 748,906.16

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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.