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Finding the Fourth Proportional to 401,980.50, 602,182.43 and 233,146.13

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Solution

The fourth proportional to 401,980.50, 602,182.43 and 233,146.13 is: 349,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,980.50 : 602,182.43 = 233,146.13 : x
  2. Step 2: Convert to fraction form
    401,980.50/602,182.43 = 233,146.13/x
  3. Step 3: Cross multiply
    401,980.50x = 602,182.43 × 233,146.13
  4. Step 4: Simplify right side
    401,980.50x = 140,396,498,931.85
  5. Step 5: Solve for x
    x = 140,396,498,931.85/401,980.50
  6. Step 6: Final answer
    x = 349,261.96

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1.5x scale

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.