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Finding the Fourth Proportional to 460,881.69, 635,656.19 and 299,788.19

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Solution

The fourth proportional to 460,881.69, 635,656.19 and 299,788.19 is: 413,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,881.69 : 635,656.19 = 299,788.19 : x
  2. Step 2: Convert to fraction form
    460,881.69/635,656.19 = 299,788.19/x
  3. Step 3: Cross multiply
    460,881.69x = 635,656.19 × 299,788.19
  4. Step 4: Simplify right side
    460,881.69x = 190,562,215,484.12
  5. Step 5: Solve for x
    x = 190,562,215,484.12/460,881.69
  6. Step 6: Final answer
    x = 413,473.17

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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.