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Finding the Fourth Proportional to 409,853.40, 614,780.10 and 250,421.10

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Solution

The fourth proportional to 409,853.40, 614,780.10 and 250,421.10 is: 375,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.40 : 614,780.10 = 250,421.10 : x
  2. Step 2: Convert to fraction form
    409,853.40/614,780.10 = 250,421.10/x
  3. Step 3: Cross multiply
    409,853.40x = 614,780.10 × 250,421.10
  4. Step 4: Simplify right side
    409,853.40x = 153,953,908,900.11
  5. Step 5: Solve for x
    x = 153,953,908,900.11/409,853.40
  6. Step 6: Final answer
    x = 375,631.65

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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.