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Finding the Fourth Proportional to 473,106.72, 709,397.52 and 157,391.28

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Solution

The fourth proportional to 473,106.72, 709,397.52 and 157,391.28 is: 235,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,106.72 : 709,397.52 = 157,391.28 : x
  2. Step 2: Convert to fraction form
    473,106.72/709,397.52 = 157,391.28/x
  3. Step 3: Cross multiply
    473,106.72x = 709,397.52 × 157,391.28
  4. Step 4: Simplify right side
    473,106.72x = 111,652,983,701.63
  5. Step 5: Solve for x
    x = 111,652,983,701.63/473,106.72
  6. Step 6: Final answer
    x = 235,999.57

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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.