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Finding the Fourth Proportional to 433,712.98, 650,407.67 and 149,323.19

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Solution

The fourth proportional to 433,712.98, 650,407.67 and 149,323.19 is: 223,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,712.98 : 650,407.67 = 149,323.19 : x
  2. Step 2: Convert to fraction form
    433,712.98/650,407.67 = 149,323.19/x
  3. Step 3: Cross multiply
    433,712.98x = 650,407.67 × 149,323.19
  4. Step 4: Simplify right side
    433,712.98x = 97,120,947,338.25
  5. Step 5: Solve for x
    x = 97,120,947,338.25/433,712.98
  6. Step 6: Final answer
    x = 223,929.08

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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.