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Finding the Fourth Proportional to 285,038.06, 393,347.34 and 157,713.65

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Solution

The fourth proportional to 285,038.06, 393,347.34 and 157,713.65 is: 217,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,038.06 : 393,347.34 = 157,713.65 : x
  2. Step 2: Convert to fraction form
    285,038.06/393,347.34 = 157,713.65/x
  3. Step 3: Cross multiply
    285,038.06x = 393,347.34 × 157,713.65
  4. Step 4: Simplify right side
    285,038.06x = 62,036,243,920.62
  5. Step 5: Solve for x
    x = 62,036,243,920.62/285,038.06
  6. Step 6: Final answer
    x = 217,641.97

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