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Finding the Fourth Proportional to 576,271, 864,411.36 and 202,294

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Solution

The fourth proportional to 576,271, 864,411.36 and 202,294 is: 303,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,271 : 864,411.36 = 202,294 : x
  2. Step 2: Convert to fraction form
    576,271/864,411.36 = 202,294/x
  3. Step 3: Cross multiply
    576,271x = 864,411.36 × 202,294
  4. Step 4: Simplify right side
    576,271x = 174,865,231,659.84
  5. Step 5: Solve for x
    x = 174,865,231,659.84/576,271
  6. Step 6: Final answer
    x = 303,442.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.