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Finding the Fourth Proportional to 343,702.80, 514,517.40 and 302,230.80

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Solution

The fourth proportional to 343,702.80, 514,517.40 and 302,230.80 is: 452,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,702.80 : 514,517.40 = 302,230.80 : x
  2. Step 2: Convert to fraction form
    343,702.80/514,517.40 = 302,230.80/x
  3. Step 3: Cross multiply
    343,702.80x = 514,517.40 × 302,230.80
  4. Step 4: Simplify right side
    343,702.80x = 155,503,005,415.92
  5. Step 5: Solve for x
    x = 155,503,005,415.92/343,702.80
  6. Step 6: Final answer
    x = 452,434.50

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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.