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Finding the Fourth Proportional to 412,018.64, 617,931.15 and 232,182.44

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Solution

The fourth proportional to 412,018.64, 617,931.15 and 232,182.44 is: 348,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,018.64 : 617,931.15 = 232,182.44 : x
  2. Step 2: Convert to fraction form
    412,018.64/617,931.15 = 232,182.44/x
  3. Step 3: Cross multiply
    412,018.64x = 617,931.15 × 232,182.44
  4. Step 4: Simplify right side
    412,018.64x = 143,472,762,159.01
  5. Step 5: Solve for x
    x = 143,472,762,159.01/412,018.64
  6. Step 6: Final answer
    x = 348,219.11

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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.