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Finding the Fourth Proportional to 406,155.45, 560,498.95 and 224,870.62

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Solution

The fourth proportional to 406,155.45, 560,498.95 and 224,870.62 is: 310,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,155.45 : 560,498.95 = 224,870.62 : x
  2. Step 2: Convert to fraction form
    406,155.45/560,498.95 = 224,870.62/x
  3. Step 3: Cross multiply
    406,155.45x = 560,498.95 × 224,870.62
  4. Step 4: Simplify right side
    406,155.45x = 126,039,746,395.85
  5. Step 5: Solve for x
    x = 126,039,746,395.85/406,155.45
  6. Step 6: Final answer
    x = 310,323.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.