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Finding the Fourth Proportional to 473,672.80, 710,509.20 and 410,082.40

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Solution

The fourth proportional to 473,672.80, 710,509.20 and 410,082.40 is: 615,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,672.80 : 710,509.20 = 410,082.40 : x
  2. Step 2: Convert to fraction form
    473,672.80/710,509.20 = 410,082.40/x
  3. Step 3: Cross multiply
    473,672.80x = 710,509.20 × 410,082.40
  4. Step 4: Simplify right side
    473,672.80x = 291,367,317,958.08
  5. Step 5: Solve for x
    x = 291,367,317,958.08/473,672.80
  6. Step 6: Final answer
    x = 615,123.60

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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.