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Finding the Fourth Proportional to 465,095.80, 697,643.70 and 149,584.60

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Solution

The fourth proportional to 465,095.80, 697,643.70 and 149,584.60 is: 224,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,095.80 : 697,643.70 = 149,584.60 : x
  2. Step 2: Convert to fraction form
    465,095.80/697,643.70 = 149,584.60/x
  3. Step 3: Cross multiply
    465,095.80x = 697,643.70 × 149,584.60
  4. Step 4: Simplify right side
    465,095.80x = 104,356,753,807.02
  5. Step 5: Solve for x
    x = 104,356,753,807.02/465,095.80
  6. Step 6: Final answer
    x = 224,376.90

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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.