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Finding the Fourth Proportional to 542,846.10, 814,269.15 and 402,878.10

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Solution

The fourth proportional to 542,846.10, 814,269.15 and 402,878.10 is: 604,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,846.10 : 814,269.15 = 402,878.10 : x
  2. Step 2: Convert to fraction form
    542,846.10/814,269.15 = 402,878.10/x
  3. Step 3: Cross multiply
    542,846.10x = 814,269.15 × 402,878.10
  4. Step 4: Simplify right side
    542,846.10x = 328,051,208,040.62
  5. Step 5: Solve for x
    x = 328,051,208,040.62/542,846.10
  6. Step 6: Final answer
    x = 604,317.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.