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Finding the Fourth Proportional to 577,175.16, 865,768.50 and 203,201.40

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Solution

The fourth proportional to 577,175.16, 865,768.50 and 203,201.40 is: 304,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,175.16 : 865,768.50 = 203,201.40 : x
  2. Step 2: Convert to fraction form
    577,175.16/865,768.50 = 203,201.40/x
  3. Step 3: Cross multiply
    577,175.16x = 865,768.50 × 203,201.40
  4. Step 4: Simplify right side
    577,175.16x = 175,925,371,275.90
  5. Step 5: Solve for x
    x = 175,925,371,275.90/577,175.16
  6. Step 6: Final answer
    x = 304,804.13

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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.