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Finding the Fourth Proportional to 466,650.25, 643,978.40 and 259,916.98

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Solution

The fourth proportional to 466,650.25, 643,978.40 and 259,916.98 is: 358,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,650.25 : 643,978.40 = 259,916.98 : x
  2. Step 2: Convert to fraction form
    466,650.25/643,978.40 = 259,916.98/x
  3. Step 3: Cross multiply
    466,650.25x = 643,978.40 × 259,916.98
  4. Step 4: Simplify right side
    466,650.25x = 167,380,916,393.76
  5. Step 5: Solve for x
    x = 167,380,916,393.76/466,650.25
  6. Step 6: Final answer
    x = 358,686.01

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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.