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Finding the Fourth Proportional to 411,510.64, 567,900.84 and 241,743.28

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Solution

The fourth proportional to 411,510.64, 567,900.84 and 241,743.28 is: 333,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,510.64 : 567,900.84 = 241,743.28 : x
  2. Step 2: Convert to fraction form
    411,510.64/567,900.84 = 241,743.28/x
  3. Step 3: Cross multiply
    411,510.64x = 567,900.84 × 241,743.28
  4. Step 4: Simplify right side
    411,510.64x = 137,286,211,776.36
  5. Step 5: Solve for x
    x = 137,286,211,776.36/411,510.64
  6. Step 6: Final answer
    x = 333,615.22

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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.