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Finding the Fourth Proportional to 294,410.40, 442,271.70 and 282,454.80

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Solution

The fourth proportional to 294,410.40, 442,271.70 and 282,454.80 is: 424,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,410.40 : 442,271.70 = 282,454.80 : x
  2. Step 2: Convert to fraction form
    294,410.40/442,271.70 = 282,454.80/x
  3. Step 3: Cross multiply
    294,410.40x = 442,271.70 × 282,454.80
  4. Step 4: Simplify right side
    294,410.40x = 124,921,764,569.16
  5. Step 5: Solve for x
    x = 124,921,764,569.16/294,410.40
  6. Step 6: Final answer
    x = 424,311.66

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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.