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Finding the Fourth Proportional to 564,047.52, 845,980.61 and 164,594.70

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Solution

The fourth proportional to 564,047.52, 845,980.61 and 164,594.70 is: 246,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,047.52 : 845,980.61 = 164,594.70 : x
  2. Step 2: Convert to fraction form
    564,047.52/845,980.61 = 164,594.70/x
  3. Step 3: Cross multiply
    564,047.52x = 845,980.61 × 164,594.70
  4. Step 4: Simplify right side
    564,047.52x = 139,243,923,885.79
  5. Step 5: Solve for x
    x = 139,243,923,885.79/564,047.52
  6. Step 6: Final answer
    x = 246,865.59

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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.