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Finding the Fourth Proportional to 561,758.12, 842,465.82 and 295,374.12

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Solution

The fourth proportional to 561,758.12, 842,465.82 and 295,374.12 is: 442,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,758.12 : 842,465.82 = 295,374.12 : x
  2. Step 2: Convert to fraction form
    561,758.12/842,465.82 = 295,374.12/x
  3. Step 3: Cross multiply
    561,758.12x = 842,465.82 × 295,374.12
  4. Step 4: Simplify right side
    561,758.12x = 248,842,600,212.58
  5. Step 5: Solve for x
    x = 248,842,600,212.58/561,758.12
  6. Step 6: Final answer
    x = 442,971.08

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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.