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Finding the Fourth Proportional to 437,414.28, 653,724.72 and 319,334.28

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Solution

The fourth proportional to 437,414.28, 653,724.72 and 319,334.28 is: 477,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,414.28 : 653,724.72 = 319,334.28 : x
  2. Step 2: Convert to fraction form
    437,414.28/653,724.72 = 319,334.28/x
  3. Step 3: Cross multiply
    437,414.28x = 653,724.72 × 319,334.28
  4. Step 4: Simplify right side
    437,414.28x = 208,756,712,779.40
  5. Step 5: Solve for x
    x = 208,756,712,779.40/437,414.28
  6. Step 6: Final answer
    x = 477,251.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.