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Finding the Fourth Proportional to 614,253.84, 847,282.32 and 422,934.96

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Solution

The fourth proportional to 614,253.84, 847,282.32 and 422,934.96 is: 583,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,253.84 : 847,282.32 = 422,934.96 : x
  2. Step 2: Convert to fraction form
    614,253.84/847,282.32 = 422,934.96/x
  3. Step 3: Cross multiply
    614,253.84x = 847,282.32 × 422,934.96
  4. Step 4: Simplify right side
    614,253.84x = 358,345,314,117.91
  5. Step 5: Solve for x
    x = 358,345,314,117.91/614,253.84
  6. Step 6: Final answer
    x = 583,383.11

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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.