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Finding the Fourth Proportional to 341,854.80, 512,782.20 and 164,707.80

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Solution

The fourth proportional to 341,854.80, 512,782.20 and 164,707.80 is: 247,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,854.80 : 512,782.20 = 164,707.80 : x
  2. Step 2: Convert to fraction form
    341,854.80/512,782.20 = 164,707.80/x
  3. Step 3: Cross multiply
    341,854.80x = 512,782.20 × 164,707.80
  4. Step 4: Simplify right side
    341,854.80x = 84,459,228,041.16
  5. Step 5: Solve for x
    x = 84,459,228,041.16/341,854.80
  6. Step 6: Final answer
    x = 247,061.70

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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.