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Finding the Fourth Proportional to 564,597.51, 846,935.34 and 227,641.19

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Solution

The fourth proportional to 564,597.51, 846,935.34 and 227,641.19 is: 341,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,597.51 : 846,935.34 = 227,641.19 : x
  2. Step 2: Convert to fraction form
    564,597.51/846,935.34 = 227,641.19/x
  3. Step 3: Cross multiply
    564,597.51x = 846,935.34 × 227,641.19
  4. Step 4: Simplify right side
    564,597.51x = 192,797,364,842.81
  5. Step 5: Solve for x
    x = 192,797,364,842.81/564,597.51
  6. Step 6: Final answer
    x = 341,477.53

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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.