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Finding the Fourth Proportional to 611,593.90, 917,062.80 and 256,206.40

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Solution

The fourth proportional to 611,593.90, 917,062.80 and 256,206.40 is: 384,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,593.90 : 917,062.80 = 256,206.40 : x
  2. Step 2: Convert to fraction form
    611,593.90/917,062.80 = 256,206.40/x
  3. Step 3: Cross multiply
    611,593.90x = 917,062.80 × 256,206.40
  4. Step 4: Simplify right side
    611,593.90x = 234,957,358,561.92
  5. Step 5: Solve for x
    x = 234,957,358,561.92/611,593.90
  6. Step 6: Final answer
    x = 384,172.17

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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.