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Finding the Fourth Proportional to 294,264.40, 441,454.20 and 125,784.40

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Solution

The fourth proportional to 294,264.40, 441,454.20 and 125,784.40 is: 188,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,264.40 : 441,454.20 = 125,784.40 : x
  2. Step 2: Convert to fraction form
    294,264.40/441,454.20 = 125,784.40/x
  3. Step 3: Cross multiply
    294,264.40x = 441,454.20 × 125,784.40
  4. Step 4: Simplify right side
    294,264.40x = 55,528,051,674.48
  5. Step 5: Solve for x
    x = 55,528,051,674.48/294,264.40
  6. Step 6: Final answer
    x = 188,701.22

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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.