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Finding the Fourth Proportional to 564,686.69, 779,268.96 and 310,054.28

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Solution

The fourth proportional to 564,686.69, 779,268.96 and 310,054.28 is: 427,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,686.69 : 779,268.96 = 310,054.28 : x
  2. Step 2: Convert to fraction form
    564,686.69/779,268.96 = 310,054.28/x
  3. Step 3: Cross multiply
    564,686.69x = 779,268.96 × 310,054.28
  4. Step 4: Simplify right side
    564,686.69x = 241,615,672,422.80
  5. Step 5: Solve for x
    x = 241,615,672,422.80/564,686.69
  6. Step 6: Final answer
    x = 427,875.63

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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.