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Finding the Fourth Proportional to 492,712.40, 739,068.60 and 160,288.40

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Solution

The fourth proportional to 492,712.40, 739,068.60 and 160,288.40 is: 240,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,712.40 : 739,068.60 = 160,288.40 : x
  2. Step 2: Convert to fraction form
    492,712.40/739,068.60 = 160,288.40/x
  3. Step 3: Cross multiply
    492,712.40x = 739,068.60 × 160,288.40
  4. Step 4: Simplify right side
    492,712.40x = 118,464,123,384.24
  5. Step 5: Solve for x
    x = 118,464,123,384.24/492,712.40
  6. Step 6: Final answer
    x = 240,432.60

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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.