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Finding the Fourth Proportional to 492,032.30, 738,178.05 and 176,456.30

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Solution

The fourth proportional to 492,032.30, 738,178.05 and 176,456.30 is: 264,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,032.30 : 738,178.05 = 176,456.30 : x
  2. Step 2: Convert to fraction form
    492,032.30/738,178.05 = 176,456.30/x
  3. Step 3: Cross multiply
    492,032.30x = 738,178.05 × 176,456.30
  4. Step 4: Simplify right side
    492,032.30x = 130,256,167,444.22
  5. Step 5: Solve for x
    x = 130,256,167,444.22/492,032.30
  6. Step 6: Final answer
    x = 264,730.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.