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Finding the Fourth Proportional to 349,677.44, 524,807.76 and 259,806.32

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Solution

The fourth proportional to 349,677.44, 524,807.76 and 259,806.32 is: 389,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,677.44 : 524,807.76 = 259,806.32 : x
  2. Step 2: Convert to fraction form
    349,677.44/524,807.76 = 259,806.32/x
  3. Step 3: Cross multiply
    349,677.44x = 524,807.76 × 259,806.32
  4. Step 4: Simplify right side
    349,677.44x = 136,348,372,833.04
  5. Step 5: Solve for x
    x = 136,348,372,833.04/349,677.44
  6. Step 6: Final answer
    x = 389,926.14

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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.