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Finding the Fourth Proportional to 409,452.46, 565,030.02 and 228,155.02

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Solution

The fourth proportional to 409,452.46, 565,030.02 and 228,155.02 is: 314,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,452.46 : 565,030.02 = 228,155.02 : x
  2. Step 2: Convert to fraction form
    409,452.46/565,030.02 = 228,155.02/x
  3. Step 3: Cross multiply
    409,452.46x = 565,030.02 × 228,155.02
  4. Step 4: Simplify right side
    409,452.46x = 128,914,435,513.70
  5. Step 5: Solve for x
    x = 128,914,435,513.70/409,452.46
  6. Step 6: Final answer
    x = 314,845.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.