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Finding the Fourth Proportional to 768,802.38, 1,060,949.16 and 429,282.78

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Solution

The fourth proportional to 768,802.38, 1,060,949.16 and 429,282.78 is: 592,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,802.38 : 1,060,949.16 = 429,282.78 : x
  2. Step 2: Convert to fraction form
    768,802.38/1,060,949.16 = 429,282.78/x
  3. Step 3: Cross multiply
    768,802.38x = 1,060,949.16 × 429,282.78
  4. Step 4: Simplify right side
    768,802.38x = 455,447,204,843.47
  5. Step 5: Solve for x
    x = 455,447,204,843.47/768,802.38
  6. Step 6: Final answer
    x = 592,411.28

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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.