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Finding the Fourth Proportional to 578,384.80, 866,425.20 and 509,111.20

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Solution

The fourth proportional to 578,384.80, 866,425.20 and 509,111.20 is: 762,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,384.80 : 866,425.20 = 509,111.20 : x
  2. Step 2: Convert to fraction form
    578,384.80/866,425.20 = 509,111.20/x
  3. Step 3: Cross multiply
    578,384.80x = 866,425.20 × 509,111.20
  4. Step 4: Simplify right side
    578,384.80x = 441,106,773,282.24
  5. Step 5: Solve for x
    x = 441,106,773,282.24/578,384.80
  6. Step 6: Final answer
    x = 762,652.78

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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.