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Finding the Fourth Proportional to 546,534.51, 819,740.19 and 147,204.51

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Solution

The fourth proportional to 546,534.51, 819,740.19 and 147,204.51 is: 220,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,534.51 : 819,740.19 = 147,204.51 : x
  2. Step 2: Convert to fraction form
    546,534.51/819,740.19 = 147,204.51/x
  3. Step 3: Cross multiply
    546,534.51x = 819,740.19 × 147,204.51
  4. Step 4: Simplify right side
    546,534.51x = 120,669,452,996.26
  5. Step 5: Solve for x
    x = 120,669,452,996.26/546,534.51
  6. Step 6: Final answer
    x = 220,790.18

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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.