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Finding the Fourth Proportional to 471,138, 706,933.80 and 234,501.36

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Solution

The fourth proportional to 471,138, 706,933.80 and 234,501.36 is: 351,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,138 : 706,933.80 = 234,501.36 : x
  2. Step 2: Convert to fraction form
    471,138/706,933.80 = 234,501.36/x
  3. Step 3: Cross multiply
    471,138x = 706,933.80 × 234,501.36
  4. Step 4: Simplify right side
    471,138x = 165,776,937,529.97
  5. Step 5: Solve for x
    x = 165,776,937,529.97/471,138
  6. Step 6: Final answer
    x = 351,864.93

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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.