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Finding the Fourth Proportional to 464,703.88, 697,089.13 and 194,560.17

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Solution

The fourth proportional to 464,703.88, 697,089.13 and 194,560.17 is: 291,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,703.88 : 697,089.13 = 194,560.17 : x
  2. Step 2: Convert to fraction form
    464,703.88/697,089.13 = 194,560.17/x
  3. Step 3: Cross multiply
    464,703.88x = 697,089.13 × 194,560.17
  4. Step 4: Simplify right side
    464,703.88x = 135,625,780,245.95
  5. Step 5: Solve for x
    x = 135,625,780,245.95/464,703.88
  6. Step 6: Final answer
    x = 291,854.20

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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.