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Finding the Fourth Proportional to 415,217.40, 573,000 and 224,230.77

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Solution

The fourth proportional to 415,217.40, 573,000 and 224,230.77 is: 309,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,217.40 : 573,000 = 224,230.77 : x
  2. Step 2: Convert to fraction form
    415,217.40/573,000 = 224,230.77/x
  3. Step 3: Cross multiply
    415,217.40x = 573,000 × 224,230.77
  4. Step 4: Simplify right side
    415,217.40x = 128,484,231,210
  5. Step 5: Solve for x
    x = 128,484,231,210/415,217.40
  6. Step 6: Final answer
    x = 309,438.46

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1.5x scale

Why These Related Problems?

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