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Finding the Fourth Proportional to 293,754.40, 440,746.80 and 106,784.80

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Solution

The fourth proportional to 293,754.40, 440,746.80 and 106,784.80 is: 160,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,754.40 : 440,746.80 = 106,784.80 : x
  2. Step 2: Convert to fraction form
    293,754.40/440,746.80 = 106,784.80/x
  3. Step 3: Cross multiply
    293,754.40x = 440,746.80 × 106,784.80
  4. Step 4: Simplify right side
    293,754.40x = 47,065,058,888.64
  5. Step 5: Solve for x
    x = 47,065,058,888.64/293,754.40
  6. Step 6: Final answer
    x = 160,219.08

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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.