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Finding the Fourth Proportional to 468,301.70, 646,256.31 and 253,441.81

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Solution

The fourth proportional to 468,301.70, 646,256.31 and 253,441.81 is: 349,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,301.70 : 646,256.31 = 253,441.81 : x
  2. Step 2: Convert to fraction form
    468,301.70/646,256.31 = 253,441.81/x
  3. Step 3: Cross multiply
    468,301.70x = 646,256.31 × 253,441.81
  4. Step 4: Simplify right side
    468,301.70x = 163,788,368,787.74
  5. Step 5: Solve for x
    x = 163,788,368,787.74/468,301.70
  6. Step 6: Final answer
    x = 349,749.68

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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.