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Finding the Fourth Proportional to 343,192.12, 514,219.14 and 242,854.96

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Solution

The fourth proportional to 343,192.12, 514,219.14 and 242,854.96 is: 363,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,192.12 : 514,219.14 = 242,854.96 : x
  2. Step 2: Convert to fraction form
    343,192.12/514,219.14 = 242,854.96/x
  3. Step 3: Cross multiply
    343,192.12x = 514,219.14 × 242,854.96
  4. Step 4: Simplify right side
    343,192.12x = 124,880,668,675.93
  5. Step 5: Solve for x
    x = 124,880,668,675.93/343,192.12
  6. Step 6: Final answer
    x = 363,879.77

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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.