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Finding the Fourth Proportional to 495,211.87, 742,601.50 and 175,257.45

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Solution

The fourth proportional to 495,211.87, 742,601.50 and 175,257.45 is: 262,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,211.87 : 742,601.50 = 175,257.45 : x
  2. Step 2: Convert to fraction form
    495,211.87/742,601.50 = 175,257.45/x
  3. Step 3: Cross multiply
    495,211.87x = 742,601.50 × 175,257.45
  4. Step 4: Simplify right side
    495,211.87x = 130,146,442,791.08
  5. Step 5: Solve for x
    x = 130,146,442,791.08/495,211.87
  6. Step 6: Final answer
    x = 262,809.62

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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.