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Finding the Fourth Proportional to 652,123.10, 978,184.65 and 368,687.90

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Solution

The fourth proportional to 652,123.10, 978,184.65 and 368,687.90 is: 553,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,123.10 : 978,184.65 = 368,687.90 : x
  2. Step 2: Convert to fraction form
    652,123.10/978,184.65 = 368,687.90/x
  3. Step 3: Cross multiply
    652,123.10x = 978,184.65 × 368,687.90
  4. Step 4: Simplify right side
    652,123.10x = 360,644,844,420.74
  5. Step 5: Solve for x
    x = 360,644,844,420.74/652,123.10
  6. Step 6: Final answer
    x = 553,031.85

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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.