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Finding the Fourth Proportional to 376,328.32, 564,349.76 and 110,032.64

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Solution

The fourth proportional to 376,328.32, 564,349.76 and 110,032.64 is: 165,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,328.32 : 564,349.76 = 110,032.64 : x
  2. Step 2: Convert to fraction form
    376,328.32/564,349.76 = 110,032.64/x
  3. Step 3: Cross multiply
    376,328.32x = 564,349.76 × 110,032.64
  4. Step 4: Simplify right side
    376,328.32x = 62,096,893,976.17
  5. Step 5: Solve for x
    x = 62,096,893,976.17/376,328.32
  6. Step 6: Final answer
    x = 165,007.23

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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.