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Finding the Fourth Proportional to 294,293.60, 441,444.46 and 83,931.50

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Solution

The fourth proportional to 294,293.60, 441,444.46 and 83,931.50 is: 125,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,293.60 : 441,444.46 = 83,931.50 : x
  2. Step 2: Convert to fraction form
    294,293.60/441,444.46 = 83,931.50/x
  3. Step 3: Cross multiply
    294,293.60x = 441,444.46 × 83,931.50
  4. Step 4: Simplify right side
    294,293.60x = 37,051,095,694.49
  5. Step 5: Solve for x
    x = 37,051,095,694.49/294,293.60
  6. Step 6: Final answer
    x = 125,898.41

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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.