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Finding the Fourth Proportional to 406,687.16, 610,034.88 and 107,210.72

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Solution

The fourth proportional to 406,687.16, 610,034.88 and 107,210.72 is: 160,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,687.16 : 610,034.88 = 107,210.72 : x
  2. Step 2: Convert to fraction form
    406,687.16/610,034.88 = 107,210.72/x
  3. Step 3: Cross multiply
    406,687.16x = 610,034.88 × 107,210.72
  4. Step 4: Simplify right side
    406,687.16x = 65,402,278,709.91
  5. Step 5: Solve for x
    x = 65,402,278,709.91/406,687.16
  6. Step 6: Final answer
    x = 160,817.17

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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.