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Finding the Fourth Proportional to 492,678.60, 739,017.90 and 176,963.28

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Solution

The fourth proportional to 492,678.60, 739,017.90 and 176,963.28 is: 265,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,678.60 : 739,017.90 = 176,963.28 : x
  2. Step 2: Convert to fraction form
    492,678.60/739,017.90 = 176,963.28/x
  3. Step 3: Cross multiply
    492,678.60x = 739,017.90 × 176,963.28
  4. Step 4: Simplify right side
    492,678.60x = 130,779,031,562.71
  5. Step 5: Solve for x
    x = 130,779,031,562.71/492,678.60
  6. Step 6: Final answer
    x = 265,444.92

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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.