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Finding the Fourth Proportional to 492,032.80, 738,178.80 and 176,456.80

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Solution

The fourth proportional to 492,032.80, 738,178.80 and 176,456.80 is: 264,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,032.80 : 738,178.80 = 176,456.80 : x
  2. Step 2: Convert to fraction form
    492,032.80/738,178.80 = 176,456.80/x
  3. Step 3: Cross multiply
    492,032.80x = 738,178.80 × 176,456.80
  4. Step 4: Simplify right side
    492,032.80x = 130,256,668,875.84
  5. Step 5: Solve for x
    x = 130,256,668,875.84/492,032.80
  6. Step 6: Final answer
    x = 264,731.68

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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.