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Finding the Fourth Proportional to 590,967.29, 885,177.72 and 400,382.06

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Solution

The fourth proportional to 590,967.29, 885,177.72 and 400,382.06 is: 599,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,967.29 : 885,177.72 = 400,382.06 : x
  2. Step 2: Convert to fraction form
    590,967.29/885,177.72 = 400,382.06/x
  3. Step 3: Cross multiply
    590,967.29x = 885,177.72 × 400,382.06
  4. Step 4: Simplify right side
    590,967.29x = 354,409,274,573.82
  5. Step 5: Solve for x
    x = 354,409,274,573.82/590,967.29
  6. Step 6: Final answer
    x = 599,710.47

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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.