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Finding the Fourth Proportional to 564,697.15, 779,295.59 and 306,584.96

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Solution

The fourth proportional to 564,697.15, 779,295.59 and 306,584.96 is: 423,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,697.15 : 779,295.59 = 306,584.96 : x
  2. Step 2: Convert to fraction form
    564,697.15/779,295.59 = 306,584.96/x
  3. Step 3: Cross multiply
    564,697.15x = 779,295.59 × 306,584.96
  4. Step 4: Simplify right side
    564,697.15x = 238,920,304,158.31
  5. Step 5: Solve for x
    x = 238,920,304,158.31/564,697.15
  6. Step 6: Final answer
    x = 423,094.58

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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.