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Finding the Fourth Proportional to 315,574.52, 473,348.82 and 175,243.64

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Solution

The fourth proportional to 315,574.52, 473,348.82 and 175,243.64 is: 262,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,574.52 : 473,348.82 = 175,243.64 : x
  2. Step 2: Convert to fraction form
    315,574.52/473,348.82 = 175,243.64/x
  3. Step 3: Cross multiply
    315,574.52x = 473,348.82 × 175,243.64
  4. Step 4: Simplify right side
    315,574.52x = 82,951,370,206.50
  5. Step 5: Solve for x
    x = 82,951,370,206.50/315,574.52
  6. Step 6: Final answer
    x = 262,858.26

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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.