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Finding the Fourth Proportional to 310,569.40, 465,918.90 and 177,340.60

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Solution

The fourth proportional to 310,569.40, 465,918.90 and 177,340.60 is: 266,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,569.40 : 465,918.90 = 177,340.60 : x
  2. Step 2: Convert to fraction form
    310,569.40/465,918.90 = 177,340.60/x
  3. Step 3: Cross multiply
    310,569.40x = 465,918.90 × 177,340.60
  4. Step 4: Simplify right side
    310,569.40x = 82,626,337,277.34
  5. Step 5: Solve for x
    x = 82,626,337,277.34/310,569.40
  6. Step 6: Final answer
    x = 266,047.90

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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.