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Finding the Fourth Proportional to 564,853.52, 779,503.24 and 310,210

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Solution

The fourth proportional to 564,853.52, 779,503.24 and 310,210 is: 428,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,853.52 : 779,503.24 = 310,210 : x
  2. Step 2: Convert to fraction form
    564,853.52/779,503.24 = 310,210/x
  3. Step 3: Cross multiply
    564,853.52x = 779,503.24 × 310,210
  4. Step 4: Simplify right side
    564,853.52x = 241,809,700,080.40
  5. Step 5: Solve for x
    x = 241,809,700,080.40/564,853.52
  6. Step 6: Final answer
    x = 428,092.76

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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.