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Finding the Fourth Proportional to 430,105.60, 645,158.40 and 412,902.40

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Solution

The fourth proportional to 430,105.60, 645,158.40 and 412,902.40 is: 619,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,105.60 : 645,158.40 = 412,902.40 : x
  2. Step 2: Convert to fraction form
    430,105.60/645,158.40 = 412,902.40/x
  3. Step 3: Cross multiply
    430,105.60x = 645,158.40 × 412,902.40
  4. Step 4: Simplify right side
    430,105.60x = 266,387,451,740.16
  5. Step 5: Solve for x
    x = 266,387,451,740.16/430,105.60
  6. Step 6: Final answer
    x = 619,353.60

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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.