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Finding the Fourth Proportional to 406,154.45, 560,497.57 and 224,869.62

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Solution

The fourth proportional to 406,154.45, 560,497.57 and 224,869.62 is: 310,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,154.45 : 560,497.57 = 224,869.62 : x
  2. Step 2: Convert to fraction form
    406,154.45/560,497.57 = 224,869.62/x
  3. Step 3: Cross multiply
    406,154.45x = 560,497.57 × 224,869.62
  4. Step 4: Simplify right side
    406,154.45x = 126,038,875,228.61
  5. Step 5: Solve for x
    x = 126,038,875,228.61/406,154.45
  6. Step 6: Final answer
    x = 310,322.52

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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.