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Finding the Fourth Proportional to 465,063.30, 697,692.15 and 149,552.10

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Solution

The fourth proportional to 465,063.30, 697,692.15 and 149,552.10 is: 224,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,063.30 : 697,692.15 = 149,552.10 : x
  2. Step 2: Convert to fraction form
    465,063.30/697,692.15 = 149,552.10/x
  3. Step 3: Cross multiply
    465,063.30x = 697,692.15 × 149,552.10
  4. Step 4: Simplify right side
    465,063.30x = 104,341,326,186.02
  5. Step 5: Solve for x
    x = 104,341,326,186.02/465,063.30
  6. Step 6: Final answer
    x = 224,359.41

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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.