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Finding the Fourth Proportional to 543,711.06, 750,342.51 and 302,011.86

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Solution

The fourth proportional to 543,711.06, 750,342.51 and 302,011.86 is: 416,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,711.06 : 750,342.51 = 302,011.86 : x
  2. Step 2: Convert to fraction form
    543,711.06/750,342.51 = 302,011.86/x
  3. Step 3: Cross multiply
    543,711.06x = 750,342.51 × 302,011.86
  4. Step 4: Simplify right side
    543,711.06x = 226,612,337,082.17
  5. Step 5: Solve for x
    x = 226,612,337,082.17/543,711.06
  6. Step 6: Final answer
    x = 416,788.17

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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.