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Finding the Fourth Proportional to 294,672.60, 441,815.28 and 142,829.50

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Solution

The fourth proportional to 294,672.60, 441,815.28 and 142,829.50 is: 214,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,672.60 : 441,815.28 = 142,829.50 : x
  2. Step 2: Convert to fraction form
    294,672.60/441,815.28 = 142,829.50/x
  3. Step 3: Cross multiply
    294,672.60x = 441,815.28 × 142,829.50
  4. Step 4: Simplify right side
    294,672.60x = 63,104,255,534.76
  5. Step 5: Solve for x
    x = 63,104,255,534.76/294,672.60
  6. Step 6: Final answer
    x = 214,150.40

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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.