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Finding the Fourth Proportional to 461,104.42, 636,322.80 and 257,155.54

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Solution

The fourth proportional to 461,104.42, 636,322.80 and 257,155.54 is: 354,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,104.42 : 636,322.80 = 257,155.54 : x
  2. Step 2: Convert to fraction form
    461,104.42/636,322.80 = 257,155.54/x
  3. Step 3: Cross multiply
    461,104.42x = 636,322.80 × 257,155.54
  4. Step 4: Simplify right side
    461,104.42x = 163,633,933,248.31
  5. Step 5: Solve for x
    x = 163,633,933,248.31/461,104.42
  6. Step 6: Final answer
    x = 354,873.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.