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Finding the Fourth Proportional to 564,712.26, 779,315.50 and 310,064.46

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Solution

The fourth proportional to 564,712.26, 779,315.50 and 310,064.46 is: 427,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,712.26 : 779,315.50 = 310,064.46 : x
  2. Step 2: Convert to fraction form
    564,712.26/779,315.50 = 310,064.46/x
  3. Step 3: Cross multiply
    564,712.26x = 779,315.50 × 310,064.46
  4. Step 4: Simplify right side
    564,712.26x = 241,638,039,677.13
  5. Step 5: Solve for x
    x = 241,638,039,677.13/564,712.26
  6. Step 6: Final answer
    x = 427,895.86

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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.