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Finding the Fourth Proportional to 564,274.68, 778,696.92 and 309,630.12

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Solution

The fourth proportional to 564,274.68, 778,696.92 and 309,630.12 is: 427,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,274.68 : 778,696.92 = 309,630.12 : x
  2. Step 2: Convert to fraction form
    564,274.68/778,696.92 = 309,630.12/x
  3. Step 3: Cross multiply
    564,274.68x = 778,696.92 × 309,630.12
  4. Step 4: Simplify right side
    564,274.68x = 241,108,020,783.23
  5. Step 5: Solve for x
    x = 241,108,020,783.23/564,274.68
  6. Step 6: Final answer
    x = 427,288.39

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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.