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Finding the Fourth Proportional to 294,098.40, 441,439.20 and 144,507.60

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Solution

The fourth proportional to 294,098.40, 441,439.20 and 144,507.60 is: 216,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,098.40 : 441,439.20 = 144,507.60 : x
  2. Step 2: Convert to fraction form
    294,098.40/441,439.20 = 144,507.60/x
  3. Step 3: Cross multiply
    294,098.40x = 441,439.20 × 144,507.60
  4. Step 4: Simplify right side
    294,098.40x = 63,791,319,337.92
  5. Step 5: Solve for x
    x = 63,791,319,337.92/294,098.40
  6. Step 6: Final answer
    x = 216,904.68

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1.5x scale

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.