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Finding the Fourth Proportional to 272,547.60, 408,432.60 and 200,911.20

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Solution

The fourth proportional to 272,547.60, 408,432.60 and 200,911.20 is: 301,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,547.60 : 408,432.60 = 200,911.20 : x
  2. Step 2: Convert to fraction form
    272,547.60/408,432.60 = 200,911.20/x
  3. Step 3: Cross multiply
    272,547.60x = 408,432.60 × 200,911.20
  4. Step 4: Simplify right side
    272,547.60x = 82,058,683,785.12
  5. Step 5: Solve for x
    x = 82,058,683,785.12/272,547.60
  6. Step 6: Final answer
    x = 301,080.19

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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.