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Finding the Fourth Proportional to 385,381.60, 578,072.40 and 207,797.20

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Solution

The fourth proportional to 385,381.60, 578,072.40 and 207,797.20 is: 311,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,381.60 : 578,072.40 = 207,797.20 : x
  2. Step 2: Convert to fraction form
    385,381.60/578,072.40 = 207,797.20/x
  3. Step 3: Cross multiply
    385,381.60x = 578,072.40 × 207,797.20
  4. Step 4: Simplify right side
    385,381.60x = 120,121,826,117.28
  5. Step 5: Solve for x
    x = 120,121,826,117.28/385,381.60
  6. Step 6: Final answer
    x = 311,695.80

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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.