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Finding the Fourth Proportional to 460,888.16, 635,665.11 and 299,794.66

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Solution

The fourth proportional to 460,888.16, 635,665.11 and 299,794.66 is: 413,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,888.16 : 635,665.11 = 299,794.66 : x
  2. Step 2: Convert to fraction form
    460,888.16/635,665.11 = 299,794.66/x
  3. Step 3: Cross multiply
    460,888.16x = 635,665.11 × 299,794.66
  4. Step 4: Simplify right side
    460,888.16x = 190,569,002,347.99
  5. Step 5: Solve for x
    x = 190,569,002,347.99/460,888.16
  6. Step 6: Final answer
    x = 413,482.10

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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.