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Finding the Fourth Proportional to 537,705.24, 741,618.77 and 333,876.84

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Solution

The fourth proportional to 537,705.24, 741,618.77 and 333,876.84 is: 460,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,705.24 : 741,618.77 = 333,876.84 : x
  2. Step 2: Convert to fraction form
    537,705.24/741,618.77 = 333,876.84/x
  3. Step 3: Cross multiply
    537,705.24x = 741,618.77 × 333,876.84
  4. Step 4: Simplify right side
    537,705.24x = 247,609,329,742.90
  5. Step 5: Solve for x
    x = 247,609,329,742.90/537,705.24
  6. Step 6: Final answer
    x = 460,492.69

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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.