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Finding the Fourth Proportional to 462,569.04, 638,451.96 and 301,143

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Solution

The fourth proportional to 462,569.04, 638,451.96 and 301,143 is: 415,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,569.04 : 638,451.96 = 301,143 : x
  2. Step 2: Convert to fraction form
    462,569.04/638,451.96 = 301,143/x
  3. Step 3: Cross multiply
    462,569.04x = 638,451.96 × 301,143
  4. Step 4: Simplify right side
    462,569.04x = 192,265,338,590.28
  5. Step 5: Solve for x
    x = 192,265,338,590.28/462,569.04
  6. Step 6: Final answer
    x = 415,646.79

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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.