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Finding the Fourth Proportional to 469,564.19, 647,981.07 and 254,697.11

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Solution

The fourth proportional to 469,564.19, 647,981.07 and 254,697.11 is: 351,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,564.19 : 647,981.07 = 254,697.11 : x
  2. Step 2: Convert to fraction form
    469,564.19/647,981.07 = 254,697.11/x
  3. Step 3: Cross multiply
    469,564.19x = 647,981.07 × 254,697.11
  4. Step 4: Simplify right side
    469,564.19x = 165,038,905,863.71
  5. Step 5: Solve for x
    x = 165,038,905,863.71/469,564.19
  6. Step 6: Final answer
    x = 351,472.51

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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.