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Finding the Fourth Proportional to 564,338.16, 778,796.16 and 309,713.04

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Solution

The fourth proportional to 564,338.16, 778,796.16 and 309,713.04 is: 427,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,338.16 : 778,796.16 = 309,713.04 : x
  2. Step 2: Convert to fraction form
    564,338.16/778,796.16 = 309,713.04/x
  3. Step 3: Cross multiply
    564,338.16x = 778,796.16 × 309,713.04
  4. Step 4: Simplify right side
    564,338.16x = 241,203,326,253.93
  5. Step 5: Solve for x
    x = 241,203,326,253.93/564,338.16
  6. Step 6: Final answer
    x = 427,409.21

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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.