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Finding the Fourth Proportional to 230,344.06, 317,686.80 and 193,407.64

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Solution

The fourth proportional to 230,344.06, 317,686.80 and 193,407.64 is: 266,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,344.06 : 317,686.80 = 193,407.64 : x
  2. Step 2: Convert to fraction form
    230,344.06/317,686.80 = 193,407.64/x
  3. Step 3: Cross multiply
    230,344.06x = 317,686.80 × 193,407.64
  4. Step 4: Simplify right side
    230,344.06x = 61,443,054,247.15
  5. Step 5: Solve for x
    x = 61,443,054,247.15/230,344.06
  6. Step 6: Final answer
    x = 266,744.69

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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.