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Finding the Fourth Proportional to 313,270.59, 469,830.60 and 144,628.93

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Solution

The fourth proportional to 313,270.59, 469,830.60 and 144,628.93 is: 216,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,270.59 : 469,830.60 = 144,628.93 : x
  2. Step 2: Convert to fraction form
    313,270.59/469,830.60 = 144,628.93/x
  3. Step 3: Cross multiply
    313,270.59x = 469,830.60 × 144,628.93
  4. Step 4: Simplify right side
    313,270.59x = 67,951,096,959.26
  5. Step 5: Solve for x
    x = 67,951,096,959.26/313,270.59
  6. Step 6: Final answer
    x = 216,908.64

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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.