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Finding the Fourth Proportional to 583,356.56, 875,077.72 and 209,382.80

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Solution

The fourth proportional to 583,356.56, 875,077.72 and 209,382.80 is: 314,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,356.56 : 875,077.72 = 209,382.80 : x
  2. Step 2: Convert to fraction form
    583,356.56/875,077.72 = 209,382.80/x
  3. Step 3: Cross multiply
    583,356.56x = 875,077.72 × 209,382.80
  4. Step 4: Simplify right side
    583,356.56x = 183,226,223,231.22
  5. Step 5: Solve for x
    x = 183,226,223,231.22/583,356.56
  6. Step 6: Final answer
    x = 314,089.59

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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.