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Finding the Fourth Proportional to 343,048.80, 514,573.20 and 106,415.40

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Solution

The fourth proportional to 343,048.80, 514,573.20 and 106,415.40 is: 159,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,048.80 : 514,573.20 = 106,415.40 : x
  2. Step 2: Convert to fraction form
    343,048.80/514,573.20 = 106,415.40/x
  3. Step 3: Cross multiply
    343,048.80x = 514,573.20 × 106,415.40
  4. Step 4: Simplify right side
    343,048.80x = 54,758,512,907.28
  5. Step 5: Solve for x
    x = 54,758,512,907.28/343,048.80
  6. Step 6: Final answer
    x = 159,623.10

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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.