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Finding the Fourth Proportional to 473,086.16, 709,366.71 and 157,370.84

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Solution

The fourth proportional to 473,086.16, 709,366.71 and 157,370.84 is: 235,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,086.16 : 709,366.71 = 157,370.84 : x
  2. Step 2: Convert to fraction form
    473,086.16/709,366.71 = 157,370.84/x
  3. Step 3: Cross multiply
    473,086.16x = 709,366.71 × 157,370.84
  4. Step 4: Simplify right side
    473,086.16x = 111,633,635,020.74
  5. Step 5: Solve for x
    x = 111,633,635,020.74/473,086.16
  6. Step 6: Final answer
    x = 235,968.93

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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.