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Finding the Fourth Proportional to 614,218.32, 847,586.24 and 338,521.42

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Solution

The fourth proportional to 614,218.32, 847,586.24 and 338,521.42 is: 467,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,218.32 : 847,586.24 = 338,521.42 : x
  2. Step 2: Convert to fraction form
    614,218.32/847,586.24 = 338,521.42/x
  3. Step 3: Cross multiply
    614,218.32x = 847,586.24 × 338,521.42
  4. Step 4: Simplify right side
    614,218.32x = 286,926,097,537.26
  5. Step 5: Solve for x
    x = 286,926,097,537.26/614,218.32
  6. Step 6: Final answer
    x = 467,140.25

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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.