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Finding the Fourth Proportional to 363,913.60, 545,870.40 and 257,625.40

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Solution

The fourth proportional to 363,913.60, 545,870.40 and 257,625.40 is: 386,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,913.60 : 545,870.40 = 257,625.40 : x
  2. Step 2: Convert to fraction form
    363,913.60/545,870.40 = 257,625.40/x
  3. Step 3: Cross multiply
    363,913.60x = 545,870.40 × 257,625.40
  4. Step 4: Simplify right side
    363,913.60x = 140,630,080,148.16
  5. Step 5: Solve for x
    x = 140,630,080,148.16/363,913.60
  6. Step 6: Final answer
    x = 386,438.10

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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.