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Finding the Fourth Proportional to 294,364.80, 440,672.40 and 175,975.20

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Solution

The fourth proportional to 294,364.80, 440,672.40 and 175,975.20 is: 263,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,364.80 : 440,672.40 = 175,975.20 : x
  2. Step 2: Convert to fraction form
    294,364.80/440,672.40 = 175,975.20/x
  3. Step 3: Cross multiply
    294,364.80x = 440,672.40 × 175,975.20
  4. Step 4: Simplify right side
    294,364.80x = 77,547,413,724.48
  5. Step 5: Solve for x
    x = 77,547,413,724.48/294,364.80
  6. Step 6: Final answer
    x = 263,439.83

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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.