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Finding the Fourth Proportional to 566,713.32, 782,036.31 and 312,016.92

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Solution

The fourth proportional to 566,713.32, 782,036.31 and 312,016.92 is: 430,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,713.32 : 782,036.31 = 312,016.92 : x
  2. Step 2: Convert to fraction form
    566,713.32/782,036.31 = 312,016.92/x
  3. Step 3: Cross multiply
    566,713.32x = 782,036.31 × 312,016.92
  4. Step 4: Simplify right side
    566,713.32x = 244,008,560,774.37
  5. Step 5: Solve for x
    x = 244,008,560,774.37/566,713.32
  6. Step 6: Final answer
    x = 430,567.89

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Double scale
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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.