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Finding the Fourth Proportional to 282,958.88, 390,475.59 and 160,473.74

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Solution

The fourth proportional to 282,958.88, 390,475.59 and 160,473.74 is: 221,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,958.88 : 390,475.59 = 160,473.74 : x
  2. Step 2: Convert to fraction form
    282,958.88/390,475.59 = 160,473.74/x
  3. Step 3: Cross multiply
    282,958.88x = 390,475.59 × 160,473.74
  4. Step 4: Simplify right side
    282,958.88x = 62,661,078,306.01
  5. Step 5: Solve for x
    x = 62,661,078,306.01/282,958.88
  6. Step 6: Final answer
    x = 221,449.41

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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.