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Finding the Fourth Proportional to 473,085.16, 709,365.21 and 157,369.84

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Solution

The fourth proportional to 473,085.16, 709,365.21 and 157,369.84 is: 235,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,085.16 : 709,365.21 = 157,369.84 : x
  2. Step 2: Convert to fraction form
    473,085.16/709,365.21 = 157,369.84/x
  3. Step 3: Cross multiply
    473,085.16x = 709,365.21 × 157,369.84
  4. Step 4: Simplify right side
    473,085.16x = 111,632,689,599.27
  5. Step 5: Solve for x
    x = 111,632,689,599.27/473,085.16
  6. Step 6: Final answer
    x = 235,967.43

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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.