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Finding the Fourth Proportional to 542,416.74, 813,468.25 and 182,547.93

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Solution

The fourth proportional to 542,416.74, 813,468.25 and 182,547.93 is: 273,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,416.74 : 813,468.25 = 182,547.93 : x
  2. Step 2: Convert to fraction form
    542,416.74/813,468.25 = 182,547.93/x
  3. Step 3: Cross multiply
    542,416.74x = 813,468.25 × 182,547.93
  4. Step 4: Simplify right side
    542,416.74x = 148,496,945,158.22
  5. Step 5: Solve for x
    x = 148,496,945,158.22/542,416.74
  6. Step 6: Final answer
    x = 273,769.10

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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.