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Finding the Fourth Proportional to 470,933.08, 706,424.12 and 155,414.56

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Solution

The fourth proportional to 470,933.08, 706,424.12 and 155,414.56 is: 233,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,933.08 : 706,424.12 = 155,414.56 : x
  2. Step 2: Convert to fraction form
    470,933.08/706,424.12 = 155,414.56/x
  3. Step 3: Cross multiply
    470,933.08x = 706,424.12 × 155,414.56
  4. Step 4: Simplify right side
    470,933.08x = 109,788,593,783.19
  5. Step 5: Solve for x
    x = 109,788,593,783.19/470,933.08
  6. Step 6: Final answer
    x = 233,129.93

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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.