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Finding the Fourth Proportional to 509,272.80, 764,162.64 and 385,373.92

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Solution

The fourth proportional to 509,272.80, 764,162.64 and 385,373.92 is: 578,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,272.80 : 764,162.64 = 385,373.92 : x
  2. Step 2: Convert to fraction form
    509,272.80/764,162.64 = 385,373.92/x
  3. Step 3: Cross multiply
    509,272.80x = 764,162.64 × 385,373.92
  4. Step 4: Simplify right side
    509,272.80x = 294,488,352,094.35
  5. Step 5: Solve for x
    x = 294,488,352,094.35/509,272.80
  6. Step 6: Final answer
    x = 578,252.66

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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.