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Finding the Fourth Proportional to 460,900.16, 635,681.66 and 299,806.68

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Solution

The fourth proportional to 460,900.16, 635,681.66 and 299,806.68 is: 413,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,900.16 : 635,681.66 = 299,806.68 : x
  2. Step 2: Convert to fraction form
    460,900.16/635,681.66 = 299,806.68/x
  3. Step 3: Cross multiply
    460,900.16x = 635,681.66 × 299,806.68
  4. Step 4: Simplify right side
    460,900.16x = 190,581,608,021.49
  5. Step 5: Solve for x
    x = 190,581,608,021.49/460,900.16
  6. Step 6: Final answer
    x = 413,498.68

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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.