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Finding the Fourth Proportional to 523,549.18, 785,363.55 and 203,563.57

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Solution

The fourth proportional to 523,549.18, 785,363.55 and 203,563.57 is: 305,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,549.18 : 785,363.55 = 203,563.57 : x
  2. Step 2: Convert to fraction form
    523,549.18/785,363.55 = 203,563.57/x
  3. Step 3: Cross multiply
    523,549.18x = 785,363.55 × 203,563.57
  4. Step 4: Simplify right side
    523,549.18x = 159,871,407,985.87
  5. Step 5: Solve for x
    x = 159,871,407,985.87/523,549.18
  6. Step 6: Final answer
    x = 305,360.82

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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.