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Finding the Fourth Proportional to 407,743.20, 611,614.80 and 407,743.20

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Solution

The fourth proportional to 407,743.20, 611,614.80 and 407,743.20 is: 611,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,743.20 : 611,614.80 = 407,743.20 : x
  2. Step 2: Convert to fraction form
    407,743.20/611,614.80 = 407,743.20/x
  3. Step 3: Cross multiply
    407,743.20x = 611,614.80 × 407,743.20
  4. Step 4: Simplify right side
    407,743.20x = 249,381,775,719.36
  5. Step 5: Solve for x
    x = 249,381,775,719.36/407,743.20
  6. Step 6: Final answer
    x = 611,614.80

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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.