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Finding the Fourth Proportional to 461,416.80, 692,254.80 and 224,767.20

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Solution

The fourth proportional to 461,416.80, 692,254.80 and 224,767.20 is: 337,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,416.80 : 692,254.80 = 224,767.20 : x
  2. Step 2: Convert to fraction form
    461,416.80/692,254.80 = 224,767.20/x
  3. Step 3: Cross multiply
    461,416.80x = 692,254.80 × 224,767.20
  4. Step 4: Simplify right side
    461,416.80x = 155,596,173,082.56
  5. Step 5: Solve for x
    x = 155,596,173,082.56/461,416.80
  6. Step 6: Final answer
    x = 337,213.93

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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.