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Finding the Fourth Proportional to 417,456.47, 575,792.91 and 383,112.11

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Solution

The fourth proportional to 417,456.47, 575,792.91 and 383,112.11 is: 528,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,456.47 : 575,792.91 = 383,112.11 : x
  2. Step 2: Convert to fraction form
    417,456.47/575,792.91 = 383,112.11/x
  3. Step 3: Cross multiply
    417,456.47x = 575,792.91 × 383,112.11
  4. Step 4: Simplify right side
    417,456.47x = 220,593,233,794.18
  5. Step 5: Solve for x
    x = 220,593,233,794.18/417,456.47
  6. Step 6: Final answer
    x = 528,422.13

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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.