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Finding the Fourth Proportional to 313,269.71, 469,829.30 and 144,628.02

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Solution

The fourth proportional to 313,269.71, 469,829.30 and 144,628.02 is: 216,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,269.71 : 469,829.30 = 144,628.02 : x
  2. Step 2: Convert to fraction form
    313,269.71/469,829.30 = 144,628.02/x
  3. Step 3: Cross multiply
    313,269.71x = 469,829.30 × 144,628.02
  4. Step 4: Simplify right side
    313,269.71x = 67,950,480,623.30
  5. Step 5: Solve for x
    x = 67,950,480,623.30/313,269.71
  6. Step 6: Final answer
    x = 216,907.28

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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.