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Finding the Fourth Proportional to 564,638.70, 846,210.42 and 414,174.45

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Solution

The fourth proportional to 564,638.70, 846,210.42 and 414,174.45 is: 620,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,638.70 : 846,210.42 = 414,174.45 : x
  2. Step 2: Convert to fraction form
    564,638.70/846,210.42 = 414,174.45/x
  3. Step 3: Cross multiply
    564,638.70x = 846,210.42 × 414,174.45
  4. Step 4: Simplify right side
    564,638.70x = 350,478,735,287.77
  5. Step 5: Solve for x
    x = 350,478,735,287.77/564,638.70
  6. Step 6: Final answer
    x = 620,713.27

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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.