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Finding the Fourth Proportional to 509,068.64, 763,769.06 and 242,794.56

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Solution

The fourth proportional to 509,068.64, 763,769.06 and 242,794.56 is: 364,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,068.64 : 763,769.06 = 242,794.56 : x
  2. Step 2: Convert to fraction form
    509,068.64/763,769.06 = 242,794.56/x
  3. Step 3: Cross multiply
    509,068.64x = 763,769.06 × 242,794.56
  4. Step 4: Simplify right side
    509,068.64x = 185,438,972,864.31
  5. Step 5: Solve for x
    x = 185,438,972,864.31/509,068.64
  6. Step 6: Final answer
    x = 364,271.06

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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.