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Finding the Fourth Proportional to 411,802.94, 568,297.68 and 230,510.36

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Solution

The fourth proportional to 411,802.94, 568,297.68 and 230,510.36 is: 318,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,802.94 : 568,297.68 = 230,510.36 : x
  2. Step 2: Convert to fraction form
    411,802.94/568,297.68 = 230,510.36/x
  3. Step 3: Cross multiply
    411,802.94x = 568,297.68 × 230,510.36
  4. Step 4: Simplify right side
    411,802.94x = 130,998,502,803.97
  5. Step 5: Solve for x
    x = 130,998,502,803.97/411,802.94
  6. Step 6: Final answer
    x = 318,109.68

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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.