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Finding the Fourth Proportional to 409,390.90, 611,207.68 and 312,822.70

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Solution

The fourth proportional to 409,390.90, 611,207.68 and 312,822.70 is: 467,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,390.90 : 611,207.68 = 312,822.70 : x
  2. Step 2: Convert to fraction form
    409,390.90/611,207.68 = 312,822.70/x
  3. Step 3: Cross multiply
    409,390.90x = 611,207.68 × 312,822.70
  4. Step 4: Simplify right side
    409,390.90x = 191,199,634,408.26
  5. Step 5: Solve for x
    x = 191,199,634,408.26/409,390.90
  6. Step 6: Final answer
    x = 467,034.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.