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Finding the Fourth Proportional to 406,056.24, 560,358.68 and 224,780.67

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Solution

The fourth proportional to 406,056.24, 560,358.68 and 224,780.67 is: 310,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,056.24 : 560,358.68 = 224,780.67 : x
  2. Step 2: Convert to fraction form
    406,056.24/560,358.68 = 224,780.67/x
  3. Step 3: Cross multiply
    406,056.24x = 560,358.68 × 224,780.67
  4. Step 4: Simplify right side
    406,056.24x = 125,957,798,406.81
  5. Step 5: Solve for x
    x = 125,957,798,406.81/406,056.24
  6. Step 6: Final answer
    x = 310,197.91

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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.