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Finding the Fourth Proportional to 274,635.60, 411,953.40 and 97,148.40

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Solution

The fourth proportional to 274,635.60, 411,953.40 and 97,148.40 is: 145,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,635.60 : 411,953.40 = 97,148.40 : x
  2. Step 2: Convert to fraction form
    274,635.60/411,953.40 = 97,148.40/x
  3. Step 3: Cross multiply
    274,635.60x = 411,953.40 × 97,148.40
  4. Step 4: Simplify right side
    274,635.60x = 40,020,613,684.56
  5. Step 5: Solve for x
    x = 40,020,613,684.56/274,635.60
  6. Step 6: Final answer
    x = 145,722.60

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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.