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Finding the Fourth Proportional to 466,434.78, 643,565.82 and 262,446

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Solution

The fourth proportional to 466,434.78, 643,565.82 and 262,446 is: 362,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,434.78 : 643,565.82 = 262,446 : x
  2. Step 2: Convert to fraction form
    466,434.78/643,565.82 = 262,446/x
  3. Step 3: Cross multiply
    466,434.78x = 643,565.82 × 262,446
  4. Step 4: Simplify right side
    466,434.78x = 168,901,275,195.72
  5. Step 5: Solve for x
    x = 168,901,275,195.72/466,434.78
  6. Step 6: Final answer
    x = 362,111.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.