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Finding the Fourth Proportional to 564,165.61, 846,276.66 and 185,052.80

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Solution

The fourth proportional to 564,165.61, 846,276.66 and 185,052.80 is: 277,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,165.61 : 846,276.66 = 185,052.80 : x
  2. Step 2: Convert to fraction form
    564,165.61/846,276.66 = 185,052.80/x
  3. Step 3: Cross multiply
    564,165.61x = 846,276.66 × 185,052.80
  4. Step 4: Simplify right side
    564,165.61x = 156,605,867,623.34
  5. Step 5: Solve for x
    x = 156,605,867,623.34/564,165.61
  6. Step 6: Final answer
    x = 277,588.47

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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.