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Finding the Fourth Proportional to 504,713.32, 757,073.10 and 149,730.28

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Solution

The fourth proportional to 504,713.32, 757,073.10 and 149,730.28 is: 224,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,713.32 : 757,073.10 = 149,730.28 : x
  2. Step 2: Convert to fraction form
    504,713.32/757,073.10 = 149,730.28/x
  3. Step 3: Cross multiply
    504,713.32x = 757,073.10 × 149,730.28
  4. Step 4: Simplify right side
    504,713.32x = 113,356,767,243.47
  5. Step 5: Solve for x
    x = 113,356,767,243.47/504,713.32
  6. Step 6: Final answer
    x = 224,596.35

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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.