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Finding the Fourth Proportional to 294,724.80, 406,720.23 and 160,588.80

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Solution

The fourth proportional to 294,724.80, 406,720.23 and 160,588.80 is: 221,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,724.80 : 406,720.23 = 160,588.80 : x
  2. Step 2: Convert to fraction form
    294,724.80/406,720.23 = 160,588.80/x
  3. Step 3: Cross multiply
    294,724.80x = 406,720.23 × 160,588.80
  4. Step 4: Simplify right side
    294,724.80x = 65,314,713,671.42
  5. Step 5: Solve for x
    x = 65,314,713,671.42/294,724.80
  6. Step 6: Final answer
    x = 221,612.55

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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.