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Finding the Fourth Proportional to 313,866, 471,006.36 and 147,666.96

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Solution

The fourth proportional to 313,866, 471,006.36 and 147,666.96 is: 221,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,866 : 471,006.36 = 147,666.96 : x
  2. Step 2: Convert to fraction form
    313,866/471,006.36 = 147,666.96/x
  3. Step 3: Cross multiply
    313,866x = 471,006.36 × 147,666.96
  4. Step 4: Simplify right side
    313,866x = 69,552,077,321.87
  5. Step 5: Solve for x
    x = 69,552,077,321.87/313,866
  6. Step 6: Final answer
    x = 221,598.00

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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.