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Finding the Fourth Proportional to 409,916.97, 565,686.28 and 228,624.24

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Solution

The fourth proportional to 409,916.97, 565,686.28 and 228,624.24 is: 315,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,916.97 : 565,686.28 = 228,624.24 : x
  2. Step 2: Convert to fraction form
    409,916.97/565,686.28 = 228,624.24/x
  3. Step 3: Cross multiply
    409,916.97x = 565,686.28 × 228,624.24
  4. Step 4: Simplify right side
    409,916.97x = 129,329,595,271.87
  5. Step 5: Solve for x
    x = 129,329,595,271.87/409,916.97
  6. Step 6: Final answer
    x = 315,501.93

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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.