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Finding the Fourth Proportional to 594,638.16, 891,949.41 and 145,362.96

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Solution

The fourth proportional to 594,638.16, 891,949.41 and 145,362.96 is: 218,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,638.16 : 891,949.41 = 145,362.96 : x
  2. Step 2: Convert to fraction form
    594,638.16/891,949.41 = 145,362.96/x
  3. Step 3: Cross multiply
    594,638.16x = 891,949.41 × 145,362.96
  4. Step 4: Simplify right side
    594,638.16x = 129,656,406,407.85
  5. Step 5: Solve for x
    x = 129,656,406,407.85/594,638.16
  6. Step 6: Final answer
    x = 218,042.53

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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.