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Finding the Fourth Proportional to 230,442.40, 345,663.60 and 64,230.40

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Solution

The fourth proportional to 230,442.40, 345,663.60 and 64,230.40 is: 96,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,442.40 : 345,663.60 = 64,230.40 : x
  2. Step 2: Convert to fraction form
    230,442.40/345,663.60 = 64,230.40/x
  3. Step 3: Cross multiply
    230,442.40x = 345,663.60 × 64,230.40
  4. Step 4: Simplify right side
    230,442.40x = 22,202,111,293.44
  5. Step 5: Solve for x
    x = 22,202,111,293.44/230,442.40
  6. Step 6: Final answer
    x = 96,345.60

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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.