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Finding the Fourth Proportional to 556,459.98, 767,932.17 and 314,737.83

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Solution

The fourth proportional to 556,459.98, 767,932.17 and 314,737.83 is: 434,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,459.98 : 767,932.17 = 314,737.83 : x
  2. Step 2: Convert to fraction form
    556,459.98/767,932.17 = 314,737.83/x
  3. Step 3: Cross multiply
    556,459.98x = 767,932.17 × 314,737.83
  4. Step 4: Simplify right side
    556,459.98x = 241,697,304,772.99
  5. Step 5: Solve for x
    x = 241,697,304,772.99/556,459.98
  6. Step 6: Final answer
    x = 434,348.05

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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.