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Finding the Fourth Proportional to 614,464.92, 921,064.05 and 235,282.05

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Solution

The fourth proportional to 614,464.92, 921,064.05 and 235,282.05 is: 352,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,464.92 : 921,064.05 = 235,282.05 : x
  2. Step 2: Convert to fraction form
    614,464.92/921,064.05 = 235,282.05/x
  3. Step 3: Cross multiply
    614,464.92x = 921,064.05 × 235,282.05
  4. Step 4: Simplify right side
    614,464.92x = 216,709,837,865.30
  5. Step 5: Solve for x
    x = 216,709,837,865.30/614,464.92
  6. Step 6: Final answer
    x = 352,680.57

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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.