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Finding the Fourth Proportional to 313,269.59, 469,829.10 and 144,627.93

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Solution

The fourth proportional to 313,269.59, 469,829.10 and 144,627.93 is: 216,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,269.59 : 469,829.10 = 144,627.93 : x
  2. Step 2: Convert to fraction form
    313,269.59/469,829.10 = 144,627.93/x
  3. Step 3: Cross multiply
    313,269.59x = 469,829.10 × 144,627.93
  4. Step 4: Simplify right side
    313,269.59x = 67,950,410,186.76
  5. Step 5: Solve for x
    x = 67,950,410,186.76/313,269.59
  6. Step 6: Final answer
    x = 216,907.14

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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.