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Finding the Fourth Proportional to 820,312.72, 1,132,027.84 and 457,715.44

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Solution

The fourth proportional to 820,312.72, 1,132,027.84 and 457,715.44 is: 631,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,312.72 : 1,132,027.84 = 457,715.44 : x
  2. Step 2: Convert to fraction form
    820,312.72/1,132,027.84 = 457,715.44/x
  3. Step 3: Cross multiply
    820,312.72x = 1,132,027.84 × 457,715.44
  4. Step 4: Simplify right side
    820,312.72x = 518,146,620,877.85
  5. Step 5: Solve for x
    x = 518,146,620,877.85/820,312.72
  6. Step 6: Final answer
    x = 631,645.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.