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Finding the Fourth Proportional to 462,847.82, 638,547.38 and 290,664.50

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Solution

The fourth proportional to 462,847.82, 638,547.38 and 290,664.50 is: 401,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,847.82 : 638,547.38 = 290,664.50 : x
  2. Step 2: Convert to fraction form
    462,847.82/638,547.38 = 290,664.50/x
  3. Step 3: Cross multiply
    462,847.82x = 638,547.38 × 290,664.50
  4. Step 4: Simplify right side
    462,847.82x = 185,603,054,934.01
  5. Step 5: Solve for x
    x = 185,603,054,934.01/462,847.82
  6. Step 6: Final answer
    x = 401,002.33

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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.