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Finding the Fourth Proportional to 465,065.80, 697,695.90 and 149,554.60

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Solution

The fourth proportional to 465,065.80, 697,695.90 and 149,554.60 is: 224,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,065.80 : 697,695.90 = 149,554.60 : x
  2. Step 2: Convert to fraction form
    465,065.80/697,695.90 = 149,554.60/x
  3. Step 3: Cross multiply
    465,065.80x = 697,695.90 × 149,554.60
  4. Step 4: Simplify right side
    465,065.80x = 104,343,631,246.14
  5. Step 5: Solve for x
    x = 104,343,631,246.14/465,065.80
  6. Step 6: Final answer
    x = 224,363.16

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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.