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Finding the Fourth Proportional to 273,007.60, 409,754.40 and 160,547.20

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Solution

The fourth proportional to 273,007.60, 409,754.40 and 160,547.20 is: 240,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,007.60 : 409,754.40 = 160,547.20 : x
  2. Step 2: Convert to fraction form
    273,007.60/409,754.40 = 160,547.20/x
  3. Step 3: Cross multiply
    273,007.60x = 409,754.40 × 160,547.20
  4. Step 4: Simplify right side
    273,007.60x = 65,784,921,607.68
  5. Step 5: Solve for x
    x = 65,784,921,607.68/273,007.60
  6. Step 6: Final answer
    x = 240,963.70

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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.