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Finding the Fourth Proportional to 415,026.80, 623,123.40 and 257,562.80

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Solution

The fourth proportional to 415,026.80, 623,123.40 and 257,562.80 is: 386,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,026.80 : 623,123.40 = 257,562.80 : x
  2. Step 2: Convert to fraction form
    415,026.80/623,123.40 = 257,562.80/x
  3. Step 3: Cross multiply
    415,026.80x = 623,123.40 × 257,562.80
  4. Step 4: Simplify right side
    415,026.80x = 160,493,407,649.52
  5. Step 5: Solve for x
    x = 160,493,407,649.52/415,026.80
  6. Step 6: Final answer
    x = 386,706.13

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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.