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Finding the Fourth Proportional to 652,432.32, 978,050.16 and 252,970.56

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Solution

The fourth proportional to 652,432.32, 978,050.16 and 252,970.56 is: 379,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,432.32 : 978,050.16 = 252,970.56 : x
  2. Step 2: Convert to fraction form
    652,432.32/978,050.16 = 252,970.56/x
  3. Step 3: Cross multiply
    652,432.32x = 978,050.16 × 252,970.56
  4. Step 4: Simplify right side
    652,432.32x = 247,417,896,683.29
  5. Step 5: Solve for x
    x = 247,417,896,683.29/652,432.32
  6. Step 6: Final answer
    x = 379,223.85

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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.