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Finding the Fourth Proportional to 311,827.60, 430,322.43 and 168,587.65

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Solution

The fourth proportional to 311,827.60, 430,322.43 and 168,587.65 is: 232,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,827.60 : 430,322.43 = 168,587.65 : x
  2. Step 2: Convert to fraction form
    311,827.60/430,322.43 = 168,587.65/x
  3. Step 3: Cross multiply
    311,827.60x = 430,322.43 × 168,587.65
  4. Step 4: Simplify right side
    311,827.60x = 72,547,047,215.99
  5. Step 5: Solve for x
    x = 72,547,047,215.99/311,827.60
  6. Step 6: Final answer
    x = 232,651.14

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