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Finding the Fourth Proportional to 820,798.16, 1,132,654.32 and 458,244.98

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Solution

The fourth proportional to 820,798.16, 1,132,654.32 and 458,244.98 is: 632,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,798.16 : 1,132,654.32 = 458,244.98 : x
  2. Step 2: Convert to fraction form
    820,798.16/1,132,654.32 = 458,244.98/x
  3. Step 3: Cross multiply
    820,798.16x = 1,132,654.32 × 458,244.98
  4. Step 4: Simplify right side
    820,798.16x = 519,033,156,215.31
  5. Step 5: Solve for x
    x = 519,033,156,215.31/820,798.16
  6. Step 6: Final answer
    x = 632,351.75

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Why These Related Problems?

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