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Finding the Fourth Proportional to 704,833.20, 972,670.75 and 382,543.31

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Solution

The fourth proportional to 704,833.20, 972,670.75 and 382,543.31 is: 527,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,833.20 : 972,670.75 = 382,543.31 : x
  2. Step 2: Convert to fraction form
    704,833.20/972,670.75 = 382,543.31/x
  3. Step 3: Cross multiply
    704,833.20x = 972,670.75 × 382,543.31
  4. Step 4: Simplify right side
    704,833.20x = 372,088,689,720.50
  5. Step 5: Solve for x
    x = 372,088,689,720.50/704,833.20
  6. Step 6: Final answer
    x = 527,910.28

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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.