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Finding the Fourth Proportional to 458,532.30, 687,798.45 and 427,428.30

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Solution

The fourth proportional to 458,532.30, 687,798.45 and 427,428.30 is: 641,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,532.30 : 687,798.45 = 427,428.30 : x
  2. Step 2: Convert to fraction form
    458,532.30/687,798.45 = 427,428.30/x
  3. Step 3: Cross multiply
    458,532.30x = 687,798.45 × 427,428.30
  4. Step 4: Simplify right side
    458,532.30x = 293,984,522,226.14
  5. Step 5: Solve for x
    x = 293,984,522,226.14/458,532.30
  6. Step 6: Final answer
    x = 641,142.45

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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.