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Finding the Fourth Proportional to 508,468.32, 762,701.76 and 474,838.56

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Solution

The fourth proportional to 508,468.32, 762,701.76 and 474,838.56 is: 712,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,468.32 : 762,701.76 = 474,838.56 : x
  2. Step 2: Convert to fraction form
    508,468.32/762,701.76 = 474,838.56/x
  3. Step 3: Cross multiply
    508,468.32x = 762,701.76 × 474,838.56
  4. Step 4: Simplify right side
    508,468.32x = 362,160,205,427.87
  5. Step 5: Solve for x
    x = 362,160,205,427.87/508,468.32
  6. Step 6: Final answer
    x = 712,257.17

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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.