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Finding the Fourth Proportional to 468,321.72, 646,283.93 and 253,461.80

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Solution

The fourth proportional to 468,321.72, 646,283.93 and 253,461.80 is: 349,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,321.72 : 646,283.93 = 253,461.80 : x
  2. Step 2: Convert to fraction form
    468,321.72/646,283.93 = 253,461.80/x
  3. Step 3: Cross multiply
    468,321.72x = 646,283.93 × 253,461.80
  4. Step 4: Simplify right side
    468,321.72x = 163,808,283,710.15
  5. Step 5: Solve for x
    x = 163,808,283,710.15/468,321.72
  6. Step 6: Final answer
    x = 349,777.25

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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.