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Finding the Fourth Proportional to 391,675, 540,514.74 and 212,827

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Solution

The fourth proportional to 391,675, 540,514.74 and 212,827 is: 293,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,675 : 540,514.74 = 212,827 : x
  2. Step 2: Convert to fraction form
    391,675/540,514.74 = 212,827/x
  3. Step 3: Cross multiply
    391,675x = 540,514.74 × 212,827
  4. Step 4: Simplify right side
    391,675x = 115,036,130,569.98
  5. Step 5: Solve for x
    x = 115,036,130,569.98/391,675
  6. Step 6: Final answer
    x = 293,703.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.