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Finding the Fourth Proportional to 462,581.04, 638,468.52 and 301,155

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Solution

The fourth proportional to 462,581.04, 638,468.52 and 301,155 is: 415,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,581.04 : 638,468.52 = 301,155 : x
  2. Step 2: Convert to fraction form
    462,581.04/638,468.52 = 301,155/x
  3. Step 3: Cross multiply
    462,581.04x = 638,468.52 × 301,155
  4. Step 4: Simplify right side
    462,581.04x = 192,277,987,140.60
  5. Step 5: Solve for x
    x = 192,277,987,140.60/462,581.04
  6. Step 6: Final answer
    x = 415,663.36

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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.