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Finding the Fourth Proportional to 359,761.92, 496,513.44 and 299,225.76

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Solution

The fourth proportional to 359,761.92, 496,513.44 and 299,225.76 is: 412,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,761.92 : 496,513.44 = 299,225.76 : x
  2. Step 2: Convert to fraction form
    359,761.92/496,513.44 = 299,225.76/x
  3. Step 3: Cross multiply
    359,761.92x = 496,513.44 × 299,225.76
  4. Step 4: Simplify right side
    359,761.92x = 148,569,611,434.21
  5. Step 5: Solve for x
    x = 148,569,611,434.21/359,761.92
  6. Step 6: Final answer
    x = 412,966.47

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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.