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Finding the Fourth Proportional to 314,956.29, 435,054.57 and 233,449.77

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Solution

The fourth proportional to 314,956.29, 435,054.57 and 233,449.77 is: 322,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,956.29 : 435,054.57 = 233,449.77 : x
  2. Step 2: Convert to fraction form
    314,956.29/435,054.57 = 233,449.77/x
  3. Step 3: Cross multiply
    314,956.29x = 435,054.57 × 233,449.77
  4. Step 4: Simplify right side
    314,956.29x = 101,563,389,303.95
  5. Step 5: Solve for x
    x = 101,563,389,303.95/314,956.29
  6. Step 6: Final answer
    x = 322,468.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.