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Finding the Fourth Proportional to 564,768, 847,326.96 and 232,344

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Solution

The fourth proportional to 564,768, 847,326.96 and 232,344 is: 348,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,768 : 847,326.96 = 232,344 : x
  2. Step 2: Convert to fraction form
    564,768/847,326.96 = 232,344/x
  3. Step 3: Cross multiply
    564,768x = 847,326.96 × 232,344
  4. Step 4: Simplify right side
    564,768x = 196,871,335,194.24
  5. Step 5: Solve for x
    x = 196,871,335,194.24/564,768
  6. Step 6: Final answer
    x = 348,587.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.