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Finding the Fourth Proportional to 458,004.60, 687,006.90 and 407,266.20

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Solution

The fourth proportional to 458,004.60, 687,006.90 and 407,266.20 is: 610,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,004.60 : 687,006.90 = 407,266.20 : x
  2. Step 2: Convert to fraction form
    458,004.60/687,006.90 = 407,266.20/x
  3. Step 3: Cross multiply
    458,004.60x = 687,006.90 × 407,266.20
  4. Step 4: Simplify right side
    458,004.60x = 279,794,689,536.78
  5. Step 5: Solve for x
    x = 279,794,689,536.78/458,004.60
  6. Step 6: Final answer
    x = 610,899.30

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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.