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Finding the Fourth Proportional to 409,567.19, 565,205.33 and 228,290.61

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Solution

The fourth proportional to 409,567.19, 565,205.33 and 228,290.61 is: 315,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,567.19 : 565,205.33 = 228,290.61 : x
  2. Step 2: Convert to fraction form
    409,567.19/565,205.33 = 228,290.61/x
  3. Step 3: Cross multiply
    409,567.19x = 565,205.33 × 228,290.61
  4. Step 4: Simplify right side
    409,567.19x = 129,031,068,419.50
  5. Step 5: Solve for x
    x = 129,031,068,419.50/409,567.19
  6. Step 6: Final answer
    x = 315,042.50

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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.