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Finding the Fourth Proportional to 257,998.40, 386,479.20 and 174,017.60

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Solution

The fourth proportional to 257,998.40, 386,479.20 and 174,017.60 is: 260,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,998.40 : 386,479.20 = 174,017.60 : x
  2. Step 2: Convert to fraction form
    257,998.40/386,479.20 = 174,017.60/x
  3. Step 3: Cross multiply
    257,998.40x = 386,479.20 × 174,017.60
  4. Step 4: Simplify right side
    257,998.40x = 67,254,182,833.92
  5. Step 5: Solve for x
    x = 67,254,182,833.92/257,998.40
  6. Step 6: Final answer
    x = 260,676.74

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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.