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Finding the Fourth Proportional to 542,471, 813,760.59 and 201,005.96

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Solution

The fourth proportional to 542,471, 813,760.59 and 201,005.96 is: 301,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,471 : 813,760.59 = 201,005.96 : x
  2. Step 2: Convert to fraction form
    542,471/813,760.59 = 201,005.96/x
  3. Step 3: Cross multiply
    542,471x = 813,760.59 × 201,005.96
  4. Step 4: Simplify right side
    542,471x = 163,570,728,603.12
  5. Step 5: Solve for x
    x = 163,570,728,603.12/542,471
  6. Step 6: Final answer
    x = 301,528.98

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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.