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Finding the Fourth Proportional to 553,613.84, 764,002.32 and 338,750

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Solution

The fourth proportional to 553,613.84, 764,002.32 and 338,750 is: 467,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,613.84 : 764,002.32 = 338,750 : x
  2. Step 2: Convert to fraction form
    553,613.84/764,002.32 = 338,750/x
  3. Step 3: Cross multiply
    553,613.84x = 764,002.32 × 338,750
  4. Step 4: Simplify right side
    553,613.84x = 258,805,785,900.00
  5. Step 5: Solve for x
    x = 258,805,785,900.00/553,613.84
  6. Step 6: Final answer
    x = 467,484.31

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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.