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Finding the Fourth Proportional to 407,197.90, 561,869.70 and 232,765.60

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Solution

The fourth proportional to 407,197.90, 561,869.70 and 232,765.60 is: 321,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,197.90 : 561,869.70 = 232,765.60 : x
  2. Step 2: Convert to fraction form
    407,197.90/561,869.70 = 232,765.60/x
  3. Step 3: Cross multiply
    407,197.90x = 561,869.70 × 232,765.60
  4. Step 4: Simplify right side
    407,197.90x = 130,783,937,842.32
  5. Step 5: Solve for x
    x = 130,783,937,842.32/407,197.90
  6. Step 6: Final answer
    x = 321,180.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.