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Finding the Fourth Proportional to 411,281.66, 567,564.81 and 229,991.51

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Solution

The fourth proportional to 411,281.66, 567,564.81 and 229,991.51 is: 317,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,281.66 : 567,564.81 = 229,991.51 : x
  2. Step 2: Convert to fraction form
    411,281.66/567,564.81 = 229,991.51/x
  3. Step 3: Cross multiply
    411,281.66x = 567,564.81 × 229,991.51
  4. Step 4: Simplify right side
    411,281.66x = 130,535,088,231.21
  5. Step 5: Solve for x
    x = 130,535,088,231.21/411,281.66
  6. Step 6: Final answer
    x = 317,386.11

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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.