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Finding the Fourth Proportional to 704,853.97, 972,699.30 and 382,564.15

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Solution

The fourth proportional to 704,853.97, 972,699.30 and 382,564.15 is: 527,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,853.97 : 972,699.30 = 382,564.15 : x
  2. Step 2: Convert to fraction form
    704,853.97/972,699.30 = 382,564.15/x
  3. Step 3: Cross multiply
    704,853.97x = 972,699.30 × 382,564.15
  4. Step 4: Simplify right side
    704,853.97x = 372,119,878,478.35
  5. Step 5: Solve for x
    x = 372,119,878,478.35/704,853.97
  6. Step 6: Final answer
    x = 527,938.97

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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.