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Finding the Fourth Proportional to 584,765.11, 806,969.14 and 343,001.17

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Solution

The fourth proportional to 584,765.11, 806,969.14 and 343,001.17 is: 473,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,765.11 : 806,969.14 = 343,001.17 : x
  2. Step 2: Convert to fraction form
    584,765.11/806,969.14 = 343,001.17/x
  3. Step 3: Cross multiply
    584,765.11x = 806,969.14 × 343,001.17
  4. Step 4: Simplify right side
    584,765.11x = 276,791,359,173.89
  5. Step 5: Solve for x
    x = 276,791,359,173.89/584,765.11
  6. Step 6: Final answer
    x = 473,337.68

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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.