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Finding the Fourth Proportional to 320,491.35, 442,264.73 and 175,294.80

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Solution

The fourth proportional to 320,491.35, 442,264.73 and 175,294.80 is: 241,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,491.35 : 442,264.73 = 175,294.80 : x
  2. Step 2: Convert to fraction form
    320,491.35/442,264.73 = 175,294.80/x
  3. Step 3: Cross multiply
    320,491.35x = 442,264.73 × 175,294.80
  4. Step 4: Simplify right side
    320,491.35x = 77,526,706,515.93
  5. Step 5: Solve for x
    x = 77,526,706,515.93/320,491.35
  6. Step 6: Final answer
    x = 241,899.53

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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.