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Finding the Fourth Proportional to 272,465.60, 408,941.40 and 160,005.20

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Solution

The fourth proportional to 272,465.60, 408,941.40 and 160,005.20 is: 240,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,465.60 : 408,941.40 = 160,005.20 : x
  2. Step 2: Convert to fraction form
    272,465.60/408,941.40 = 160,005.20/x
  3. Step 3: Cross multiply
    272,465.60x = 408,941.40 × 160,005.20
  4. Step 4: Simplify right side
    272,465.60x = 65,432,750,495.28
  5. Step 5: Solve for x
    x = 65,432,750,495.28/272,465.60
  6. Step 6: Final answer
    x = 240,150.50

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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.