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Finding the Fourth Proportional to 319,632.29, 441,103.14 and 174,446

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Solution

The fourth proportional to 319,632.29, 441,103.14 and 174,446 is: 240,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,632.29 : 441,103.14 = 174,446 : x
  2. Step 2: Convert to fraction form
    319,632.29/441,103.14 = 174,446/x
  3. Step 3: Cross multiply
    319,632.29x = 441,103.14 × 174,446
  4. Step 4: Simplify right side
    319,632.29x = 76,948,678,360.44
  5. Step 5: Solve for x
    x = 76,948,678,360.44/319,632.29
  6. Step 6: Final answer
    x = 240,741.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.