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Finding the Fourth Proportional to 458,506.20, 686,447.10 and 406,018.20

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Solution

The fourth proportional to 458,506.20, 686,447.10 and 406,018.20 is: 607,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,506.20 : 686,447.10 = 406,018.20 : x
  2. Step 2: Convert to fraction form
    458,506.20/686,447.10 = 406,018.20/x
  3. Step 3: Cross multiply
    458,506.20x = 686,447.10 × 406,018.20
  4. Step 4: Simplify right side
    458,506.20x = 278,710,015,937.22
  5. Step 5: Solve for x
    x = 278,710,015,937.22/458,506.20
  6. Step 6: Final answer
    x = 607,865.32

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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.