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Finding the Fourth Proportional to 564,742.26, 779,356.89 and 310,094.46

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Solution

The fourth proportional to 564,742.26, 779,356.89 and 310,094.46 is: 427,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,742.26 : 779,356.89 = 310,094.46 : x
  2. Step 2: Convert to fraction form
    564,742.26/779,356.89 = 310,094.46/x
  3. Step 3: Cross multiply
    564,742.26x = 779,356.89 × 310,094.46
  4. Step 4: Simplify right side
    564,742.26x = 241,674,253,951.83
  5. Step 5: Solve for x
    x = 241,674,253,951.83/564,742.26
  6. Step 6: Final answer
    x = 427,937.26

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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.