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Finding the Fourth Proportional to 294,546.48, 442,484.80 and 174,682.06

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Solution

The fourth proportional to 294,546.48, 442,484.80 and 174,682.06 is: 262,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,546.48 : 442,484.80 = 174,682.06 : x
  2. Step 2: Convert to fraction form
    294,546.48/442,484.80 = 174,682.06/x
  3. Step 3: Cross multiply
    294,546.48x = 442,484.80 × 174,682.06
  4. Step 4: Simplify right side
    294,546.48x = 77,294,156,382.69
  5. Step 5: Solve for x
    x = 77,294,156,382.69/294,546.48
  6. Step 6: Final answer
    x = 262,417.52

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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.