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Finding the Fourth Proportional to 413,382.40, 620,074.04 and 164,064.40

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Solution

The fourth proportional to 413,382.40, 620,074.04 and 164,064.40 is: 246,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,382.40 : 620,074.04 = 164,064.40 : x
  2. Step 2: Convert to fraction form
    413,382.40/620,074.04 = 164,064.40/x
  3. Step 3: Cross multiply
    413,382.40x = 620,074.04 × 164,064.40
  4. Step 4: Simplify right side
    413,382.40x = 101,732,075,328.18
  5. Step 5: Solve for x
    x = 101,732,075,328.18/413,382.40
  6. Step 6: Final answer
    x = 246,096.77

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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.