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Finding the Fourth Proportional to 708,084.57, 977,144.38 and 385,797.02

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Solution

The fourth proportional to 708,084.57, 977,144.38 and 385,797.02 is: 532,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,084.57 : 977,144.38 = 385,797.02 : x
  2. Step 2: Convert to fraction form
    708,084.57/977,144.38 = 385,797.02/x
  3. Step 3: Cross multiply
    708,084.57x = 977,144.38 × 385,797.02
  4. Step 4: Simplify right side
    708,084.57x = 376,979,384,063.53
  5. Step 5: Solve for x
    x = 376,979,384,063.53/708,084.57
  6. Step 6: Final answer
    x = 532,393.16

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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.