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Finding the Fourth Proportional to 349,842.51, 524,742.84 and 205,829.10

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Solution

The fourth proportional to 349,842.51, 524,742.84 and 205,829.10 is: 308,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,842.51 : 524,742.84 = 205,829.10 : x
  2. Step 2: Convert to fraction form
    349,842.51/524,742.84 = 205,829.10/x
  3. Step 3: Cross multiply
    349,842.51x = 524,742.84 × 205,829.10
  4. Step 4: Simplify right side
    349,842.51x = 108,007,346,488.64
  5. Step 5: Solve for x
    x = 108,007,346,488.64/349,842.51
  6. Step 6: Final answer
    x = 308,731.34

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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.