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Finding the Fourth Proportional to 343,048.48, 514,622.48 and 106,410.16

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Solution

The fourth proportional to 343,048.48, 514,622.48 and 106,410.16 is: 159,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,048.48 : 514,622.48 = 106,410.16 : x
  2. Step 2: Convert to fraction form
    343,048.48/514,622.48 = 106,410.16/x
  3. Step 3: Cross multiply
    343,048.48x = 514,622.48 × 106,410.16
  4. Step 4: Simplify right side
    343,048.48x = 54,761,060,436.40
  5. Step 5: Solve for x
    x = 54,761,060,436.40/343,048.48
  6. Step 6: Final answer
    x = 159,630.68

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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.