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Finding the Fourth Proportional to 581,507.84, 802,363.16 and 339,743.72

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Solution

The fourth proportional to 581,507.84, 802,363.16 and 339,743.72 is: 468,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,507.84 : 802,363.16 = 339,743.72 : x
  2. Step 2: Convert to fraction form
    581,507.84/802,363.16 = 339,743.72/x
  3. Step 3: Cross multiply
    581,507.84x = 802,363.16 × 339,743.72
  4. Step 4: Simplify right side
    581,507.84x = 272,597,841,606.90
  5. Step 5: Solve for x
    x = 272,597,841,606.90/581,507.84
  6. Step 6: Final answer
    x = 468,777.59

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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.