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Finding the Fourth Proportional to 564,713.26, 779,316.88 and 310,065.46

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Solution

The fourth proportional to 564,713.26, 779,316.88 and 310,065.46 is: 427,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,713.26 : 779,316.88 = 310,065.46 : x
  2. Step 2: Convert to fraction form
    564,713.26/779,316.88 = 310,065.46/x
  3. Step 3: Cross multiply
    564,713.26x = 779,316.88 × 310,065.46
  4. Step 4: Simplify right side
    564,713.26x = 241,639,246,882.97
  5. Step 5: Solve for x
    x = 241,639,246,882.97/564,713.26
  6. Step 6: Final answer
    x = 427,897.24

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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.