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Finding the Fourth Proportional to 415,055.80, 623,166.90 and 257,591.80

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Solution

The fourth proportional to 415,055.80, 623,166.90 and 257,591.80 is: 386,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,055.80 : 623,166.90 = 257,591.80 : x
  2. Step 2: Convert to fraction form
    415,055.80/623,166.90 = 257,591.80/x
  3. Step 3: Cross multiply
    415,055.80x = 623,166.90 × 257,591.80
  4. Step 4: Simplify right side
    415,055.80x = 160,522,683,471.42
  5. Step 5: Solve for x
    x = 160,522,683,471.42/415,055.80
  6. Step 6: Final answer
    x = 386,749.65

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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.