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Finding the Fourth Proportional to 375,052.09, 517,567.84 and 202,966.25

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Solution

The fourth proportional to 375,052.09, 517,567.84 and 202,966.25 is: 280,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,052.09 : 517,567.84 = 202,966.25 : x
  2. Step 2: Convert to fraction form
    375,052.09/517,567.84 = 202,966.25/x
  3. Step 3: Cross multiply
    375,052.09x = 517,567.84 × 202,966.25
  4. Step 4: Simplify right side
    375,052.09x = 105,048,800,510.15
  5. Step 5: Solve for x
    x = 105,048,800,510.15/375,052.09
  6. Step 6: Final answer
    x = 280,091.23

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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.