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Finding the Fourth Proportional to 406,206.60, 609,337.55 and 106,686.65

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Solution

The fourth proportional to 406,206.60, 609,337.55 and 106,686.65 is: 160,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,206.60 : 609,337.55 = 106,686.65 : x
  2. Step 2: Convert to fraction form
    406,206.60/609,337.55 = 106,686.65/x
  3. Step 3: Cross multiply
    406,206.60x = 609,337.55 × 106,686.65
  4. Step 4: Simplify right side
    406,206.60x = 65,008,183,718.77
  5. Step 5: Solve for x
    x = 65,008,183,718.77/406,206.60
  6. Step 6: Final answer
    x = 160,037.24

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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.