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Finding the Fourth Proportional to 430,681.68, 647,073.72 and 406,809.36

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Solution

The fourth proportional to 430,681.68, 647,073.72 and 406,809.36 is: 611,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,681.68 : 647,073.72 = 406,809.36 : x
  2. Step 2: Convert to fraction form
    430,681.68/647,073.72 = 406,809.36/x
  3. Step 3: Cross multiply
    430,681.68x = 647,073.72 × 406,809.36
  4. Step 4: Simplify right side
    430,681.68x = 263,235,645,906.02
  5. Step 5: Solve for x
    x = 263,235,645,906.02/430,681.68
  6. Step 6: Final answer
    x = 611,206.97

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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.