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Finding the Fourth Proportional to 334,883.40, 462,155.14 and 205,827.50

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Solution

The fourth proportional to 334,883.40, 462,155.14 and 205,827.50 is: 284,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,883.40 : 462,155.14 = 205,827.50 : x
  2. Step 2: Convert to fraction form
    334,883.40/462,155.14 = 205,827.50/x
  3. Step 3: Cross multiply
    334,883.40x = 462,155.14 × 205,827.50
  4. Step 4: Simplify right side
    334,883.40x = 95,124,237,078.35
  5. Step 5: Solve for x
    x = 95,124,237,078.35/334,883.40
  6. Step 6: Final answer
    x = 284,051.82

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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.