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Finding the Fourth Proportional to 409,746.83, 565,382.09 and 228,419.01

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Solution

The fourth proportional to 409,746.83, 565,382.09 and 228,419.01 is: 315,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,746.83 : 565,382.09 = 228,419.01 : x
  2. Step 2: Convert to fraction form
    409,746.83/565,382.09 = 228,419.01/x
  3. Step 3: Cross multiply
    409,746.83x = 565,382.09 × 228,419.01
  4. Step 4: Simplify right side
    409,746.83x = 129,144,017,840.58
  5. Step 5: Solve for x
    x = 129,144,017,840.58/409,746.83
  6. Step 6: Final answer
    x = 315,180.03

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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.