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Finding the Fourth Proportional to 294,715.60, 441,781.80 and 144,833.20

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Solution

The fourth proportional to 294,715.60, 441,781.80 and 144,833.20 is: 217,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,715.60 : 441,781.80 = 144,833.20 : x
  2. Step 2: Convert to fraction form
    294,715.60/441,781.80 = 144,833.20/x
  3. Step 3: Cross multiply
    294,715.60x = 441,781.80 × 144,833.20
  4. Step 4: Simplify right side
    294,715.60x = 63,984,671,795.76
  5. Step 5: Solve for x
    x = 63,984,671,795.76/294,715.60
  6. Step 6: Final answer
    x = 217,106.50

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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.