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Finding the Fourth Proportional to 465,097.80, 697,646.70 and 149,586.60

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Solution

The fourth proportional to 465,097.80, 697,646.70 and 149,586.60 is: 224,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,097.80 : 697,646.70 = 149,586.60 : x
  2. Step 2: Convert to fraction form
    465,097.80/697,646.70 = 149,586.60/x
  3. Step 3: Cross multiply
    465,097.80x = 697,646.70 × 149,586.60
  4. Step 4: Simplify right side
    465,097.80x = 104,358,597,854.22
  5. Step 5: Solve for x
    x = 104,358,597,854.22/465,097.80
  6. Step 6: Final answer
    x = 224,379.90

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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.