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Finding the Fourth Proportional to 314,860.77, 472,181.81 and 104,449.50

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Solution

The fourth proportional to 314,860.77, 472,181.81 and 104,449.50 is: 156,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,860.77 : 472,181.81 = 104,449.50 : x
  2. Step 2: Convert to fraction form
    314,860.77/472,181.81 = 104,449.50/x
  3. Step 3: Cross multiply
    314,860.77x = 472,181.81 × 104,449.50
  4. Step 4: Simplify right side
    314,860.77x = 49,319,153,441.35
  5. Step 5: Solve for x
    x = 49,319,153,441.35/314,860.77
  6. Step 6: Final answer
    x = 156,637.98

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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.