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Finding the Fourth Proportional to 581,098.92, 871,149.10 and 201,970.40

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Solution

The fourth proportional to 581,098.92, 871,149.10 and 201,970.40 is: 302,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,098.92 : 871,149.10 = 201,970.40 : x
  2. Step 2: Convert to fraction form
    581,098.92/871,149.10 = 201,970.40/x
  3. Step 3: Cross multiply
    581,098.92x = 871,149.10 × 201,970.40
  4. Step 4: Simplify right side
    581,098.92x = 175,946,332,186.64
  5. Step 5: Solve for x
    x = 175,946,332,186.64/581,098.92
  6. Step 6: Final answer
    x = 302,782.07

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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.