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Finding the Fourth Proportional to 436,146.66, 654,053.94 and 286,346.88

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Solution

The fourth proportional to 436,146.66, 654,053.94 and 286,346.88 is: 429,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,146.66 : 654,053.94 = 286,346.88 : x
  2. Step 2: Convert to fraction form
    436,146.66/654,053.94 = 286,346.88/x
  3. Step 3: Cross multiply
    436,146.66x = 654,053.94 × 286,346.88
  4. Step 4: Simplify right side
    436,146.66x = 187,286,305,070.71
  5. Step 5: Solve for x
    x = 187,286,305,070.71/436,146.66
  6. Step 6: Final answer
    x = 429,411.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.