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Finding the Fourth Proportional to 312,026.31, 430,598.42 and 191,167.83

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Solution

The fourth proportional to 312,026.31, 430,598.42 and 191,167.83 is: 263,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,026.31 : 430,598.42 = 191,167.83 : x
  2. Step 2: Convert to fraction form
    312,026.31/430,598.42 = 191,167.83/x
  3. Step 3: Cross multiply
    312,026.31x = 430,598.42 × 191,167.83
  4. Step 4: Simplify right side
    312,026.31x = 82,316,565,552.83
  5. Step 5: Solve for x
    x = 82,316,565,552.83/312,026.31
  6. Step 6: Final answer
    x = 263,812.90

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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.