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Finding the Fourth Proportional to 409,497.40, 614,246.10 and 267,779.80

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Solution

The fourth proportional to 409,497.40, 614,246.10 and 267,779.80 is: 401,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,497.40 : 614,246.10 = 267,779.80 : x
  2. Step 2: Convert to fraction form
    409,497.40/614,246.10 = 267,779.80/x
  3. Step 3: Cross multiply
    409,497.40x = 614,246.10 × 267,779.80
  4. Step 4: Simplify right side
    409,497.40x = 164,482,697,808.78
  5. Step 5: Solve for x
    x = 164,482,697,808.78/409,497.40
  6. Step 6: Final answer
    x = 401,669.70

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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.