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Finding the Fourth Proportional to 492,098.60, 737,111.10 and 409,154.60

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Solution

The fourth proportional to 492,098.60, 737,111.10 and 409,154.60 is: 612,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,098.60 : 737,111.10 = 409,154.60 : x
  2. Step 2: Convert to fraction form
    492,098.60/737,111.10 = 409,154.60/x
  3. Step 3: Cross multiply
    492,098.60x = 737,111.10 × 409,154.60
  4. Step 4: Simplify right side
    492,098.60x = 301,592,397,276.06
  5. Step 5: Solve for x
    x = 301,592,397,276.06/492,098.60
  6. Step 6: Final answer
    x = 612,869.85

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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.