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Finding the Fourth Proportional to 704,695.92, 972,483 and 382,406.08

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Solution

The fourth proportional to 704,695.92, 972,483 and 382,406.08 is: 527,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,695.92 : 972,483 = 382,406.08 : x
  2. Step 2: Convert to fraction form
    704,695.92/972,483 = 382,406.08/x
  3. Step 3: Cross multiply
    704,695.92x = 972,483 × 382,406.08
  4. Step 4: Simplify right side
    704,695.92x = 371,883,411,896.64
  5. Step 5: Solve for x
    x = 371,883,411,896.64/704,695.92
  6. Step 6: Final answer
    x = 527,721.82

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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.