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Finding the Fourth Proportional to 564,240.80, 778,653.24 and 309,593.90

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Solution

The fourth proportional to 564,240.80, 778,653.24 and 309,593.90 is: 427,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,240.80 : 778,653.24 = 309,593.90 : x
  2. Step 2: Convert to fraction form
    564,240.80/778,653.24 = 309,593.90/x
  3. Step 3: Cross multiply
    564,240.80x = 778,653.24 × 309,593.90
  4. Step 4: Simplify right side
    564,240.80x = 241,066,293,319.24
  5. Step 5: Solve for x
    x = 241,066,293,319.24/564,240.80
  6. Step 6: Final answer
    x = 427,240.10

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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.