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Finding the Fourth Proportional to 466,146.48, 643,277.48 and 259,411.38

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Solution

The fourth proportional to 466,146.48, 643,277.48 and 259,411.38 is: 357,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,146.48 : 643,277.48 = 259,411.38 : x
  2. Step 2: Convert to fraction form
    466,146.48/643,277.48 = 259,411.38/x
  3. Step 3: Cross multiply
    466,146.48x = 643,277.48 × 259,411.38
  4. Step 4: Simplify right side
    466,146.48x = 166,873,495,100.38
  5. Step 5: Solve for x
    x = 166,873,495,100.38/466,146.48
  6. Step 6: Final answer
    x = 357,985.10

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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.