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Finding the Fourth Proportional to 473,219.34, 709,835.15 and 136,265.51

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Solution

The fourth proportional to 473,219.34, 709,835.15 and 136,265.51 is: 204,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,219.34 : 709,835.15 = 136,265.51 : x
  2. Step 2: Convert to fraction form
    473,219.34/709,835.15 = 136,265.51/x
  3. Step 3: Cross multiply
    473,219.34x = 709,835.15 × 136,265.51
  4. Step 4: Simplify right side
    473,219.34x = 96,726,050,845.93
  5. Step 5: Solve for x
    x = 96,726,050,845.93/473,219.34
  6. Step 6: Final answer
    x = 204,400.04

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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.