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Finding the Fourth Proportional to 343,071.12, 514,616.76 and 292,834.44

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Solution

The fourth proportional to 343,071.12, 514,616.76 and 292,834.44 is: 439,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,071.12 : 514,616.76 = 292,834.44 : x
  2. Step 2: Convert to fraction form
    343,071.12/514,616.76 = 292,834.44/x
  3. Step 3: Cross multiply
    343,071.12x = 514,616.76 × 292,834.44
  4. Step 4: Simplify right side
    343,071.12x = 150,697,510,729.21
  5. Step 5: Solve for x
    x = 150,697,510,729.21/343,071.12
  6. Step 6: Final answer
    x = 439,260.26

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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.