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Finding the Fourth Proportional to 746,156.52, 1,029,696.03 and 406,624.50

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Solution

The fourth proportional to 746,156.52, 1,029,696.03 and 406,624.50 is: 561,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,156.52 : 1,029,696.03 = 406,624.50 : x
  2. Step 2: Convert to fraction form
    746,156.52/1,029,696.03 = 406,624.50/x
  3. Step 3: Cross multiply
    746,156.52x = 1,029,696.03 × 406,624.50
  4. Step 4: Simplify right side
    746,156.52x = 418,699,633,350.74
  5. Step 5: Solve for x
    x = 418,699,633,350.74/746,156.52
  6. Step 6: Final answer
    x = 561,141.83

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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.