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Finding the Fourth Proportional to 257,613.40, 385,901.70 and 173,632.60

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Solution

The fourth proportional to 257,613.40, 385,901.70 and 173,632.60 is: 260,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,613.40 : 385,901.70 = 173,632.60 : x
  2. Step 2: Convert to fraction form
    257,613.40/385,901.70 = 173,632.60/x
  3. Step 3: Cross multiply
    257,613.40x = 385,901.70 × 173,632.60
  4. Step 4: Simplify right side
    257,613.40x = 67,005,115,515.42
  5. Step 5: Solve for x
    x = 67,005,115,515.42/257,613.40
  6. Step 6: Final answer
    x = 260,099.50

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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.