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Finding the Fourth Proportional to 473,619.60, 709,807.32 and 224,372.88

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Solution

The fourth proportional to 473,619.60, 709,807.32 and 224,372.88 is: 336,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,619.60 : 709,807.32 = 224,372.88 : x
  2. Step 2: Convert to fraction form
    473,619.60/709,807.32 = 224,372.88/x
  3. Step 3: Cross multiply
    473,619.60x = 709,807.32 × 224,372.88
  4. Step 4: Simplify right side
    473,619.60x = 159,261,512,633.48
  5. Step 5: Solve for x
    x = 159,261,512,633.48/473,619.60
  6. Step 6: Final answer
    x = 336,264.62

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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.