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Finding the Fourth Proportional to 411,924, 568,463.76 and 233,076

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Solution

The fourth proportional to 411,924, 568,463.76 and 233,076 is: 321,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,924 : 568,463.76 = 233,076 : x
  2. Step 2: Convert to fraction form
    411,924/568,463.76 = 233,076/x
  3. Step 3: Cross multiply
    411,924x = 568,463.76 × 233,076
  4. Step 4: Simplify right side
    411,924x = 132,495,259,325.76
  5. Step 5: Solve for x
    x = 132,495,259,325.76/411,924
  6. Step 6: Final answer
    x = 321,649.77

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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.