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Finding the Fourth Proportional to 333,671.84, 500,214.48 and 173,410.40

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Solution

The fourth proportional to 333,671.84, 500,214.48 and 173,410.40 is: 259,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,671.84 : 500,214.48 = 173,410.40 : x
  2. Step 2: Convert to fraction form
    333,671.84/500,214.48 = 173,410.40/x
  3. Step 3: Cross multiply
    333,671.84x = 500,214.48 × 173,410.40
  4. Step 4: Simplify right side
    333,671.84x = 86,742,393,062.59
  5. Step 5: Solve for x
    x = 86,742,393,062.59/333,671.84
  6. Step 6: Final answer
    x = 259,963.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.