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Finding the Fourth Proportional to 522,459.82, 720,327.10 and 338,373.14

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Solution

The fourth proportional to 522,459.82, 720,327.10 and 338,373.14 is: 466,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,459.82 : 720,327.10 = 338,373.14 : x
  2. Step 2: Convert to fraction form
    522,459.82/720,327.10 = 338,373.14/x
  3. Step 3: Cross multiply
    522,459.82x = 720,327.10 × 338,373.14
  4. Step 4: Simplify right side
    522,459.82x = 243,739,340,962.23
  5. Step 5: Solve for x
    x = 243,739,340,962.23/522,459.82
  6. Step 6: Final answer
    x = 466,522.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.