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Finding the Fourth Proportional to 564,737.48, 847,261.74 and 191,022.92

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Solution

The fourth proportional to 564,737.48, 847,261.74 and 191,022.92 is: 286,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,737.48 : 847,261.74 = 191,022.92 : x
  2. Step 2: Convert to fraction form
    564,737.48/847,261.74 = 191,022.92/x
  3. Step 3: Cross multiply
    564,737.48x = 847,261.74 × 191,022.92
  4. Step 4: Simplify right side
    564,737.48x = 161,846,411,579.08
  5. Step 5: Solve for x
    x = 161,846,411,579.08/564,737.48
  6. Step 6: Final answer
    x = 286,586.98

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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.