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Finding the Fourth Proportional to 416,855.96, 575,263.86 and 225,870.74

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Solution

The fourth proportional to 416,855.96, 575,263.86 and 225,870.74 is: 311,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,855.96 : 575,263.86 = 225,870.74 : x
  2. Step 2: Convert to fraction form
    416,855.96/575,263.86 = 225,870.74/x
  3. Step 3: Cross multiply
    416,855.96x = 575,263.86 × 225,870.74
  4. Step 4: Simplify right side
    416,855.96x = 129,935,273,753.46
  5. Step 5: Solve for x
    x = 129,935,273,753.46/416,855.96
  6. Step 6: Final answer
    x = 311,703.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.