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Finding the Fourth Proportional to 275,543.74, 412,920.93 and 156,970.24

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Solution

The fourth proportional to 275,543.74, 412,920.93 and 156,970.24 is: 235,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,543.74 : 412,920.93 = 156,970.24 : x
  2. Step 2: Convert to fraction form
    275,543.74/412,920.93 = 156,970.24/x
  3. Step 3: Cross multiply
    275,543.74x = 412,920.93 × 156,970.24
  4. Step 4: Simplify right side
    275,543.74x = 64,816,297,483.12
  5. Step 5: Solve for x
    x = 64,816,297,483.12/275,543.74
  6. Step 6: Final answer
    x = 235,230.52

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1.5x scale

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.