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Finding the Fourth Proportional to 590,465.80, 885,698.70 and 409,382.20

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Solution

The fourth proportional to 590,465.80, 885,698.70 and 409,382.20 is: 614,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,465.80 : 885,698.70 = 409,382.20 : x
  2. Step 2: Convert to fraction form
    590,465.80/885,698.70 = 409,382.20/x
  3. Step 3: Cross multiply
    590,465.80x = 885,698.70 × 409,382.20
  4. Step 4: Simplify right side
    590,465.80x = 362,589,282,343.14
  5. Step 5: Solve for x
    x = 362,589,282,343.14/590,465.80
  6. Step 6: Final answer
    x = 614,073.30

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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.