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Finding the Fourth Proportional to 564,644.69, 779,210.99 and 310,012.28

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Solution

The fourth proportional to 564,644.69, 779,210.99 and 310,012.28 is: 427,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,644.69 : 779,210.99 = 310,012.28 : x
  2. Step 2: Convert to fraction form
    564,644.69/779,210.99 = 310,012.28/x
  3. Step 3: Cross multiply
    564,644.69x = 779,210.99 × 310,012.28
  4. Step 4: Simplify right side
    564,644.69x = 241,564,970,164.84
  5. Step 5: Solve for x
    x = 241,564,970,164.84/564,644.69
  6. Step 6: Final answer
    x = 427,817.66

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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.