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Finding the Fourth Proportional to 651,974.80, 978,253.80 and 314,885.20

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Solution

The fourth proportional to 651,974.80, 978,253.80 and 314,885.20 is: 472,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,974.80 : 978,253.80 = 314,885.20 : x
  2. Step 2: Convert to fraction form
    651,974.80/978,253.80 = 314,885.20/x
  3. Step 3: Cross multiply
    651,974.80x = 978,253.80 × 314,885.20
  4. Step 4: Simplify right side
    651,974.80x = 308,037,643,463.76
  5. Step 5: Solve for x
    x = 308,037,643,463.76/651,974.80
  6. Step 6: Final answer
    x = 472,468.63

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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.