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Finding the Fourth Proportional to 542,749.94, 813,097.31 and 362,291.23

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Solution

The fourth proportional to 542,749.94, 813,097.31 and 362,291.23 is: 542,750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,749.94 : 813,097.31 = 362,291.23 : x
  2. Step 2: Convert to fraction form
    542,749.94/813,097.31 = 362,291.23/x
  3. Step 3: Cross multiply
    542,749.94x = 813,097.31 × 362,291.23
  4. Step 4: Simplify right side
    542,749.94x = 294,578,028,079.23
  5. Step 5: Solve for x
    x = 294,578,028,079.23/542,749.94
  6. Step 6: Final answer
    x = 542,750.91

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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.