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Finding the Fourth Proportional to 409,336.60, 614,004.90 and 406,712.20

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Solution

The fourth proportional to 409,336.60, 614,004.90 and 406,712.20 is: 610,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,336.60 : 614,004.90 = 406,712.20 : x
  2. Step 2: Convert to fraction form
    409,336.60/614,004.90 = 406,712.20/x
  3. Step 3: Cross multiply
    409,336.60x = 614,004.90 × 406,712.20
  4. Step 4: Simplify right side
    409,336.60x = 249,723,283,689.78
  5. Step 5: Solve for x
    x = 249,723,283,689.78/409,336.60
  6. Step 6: Final answer
    x = 610,068.30

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1.5x scale

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.