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Finding the Fourth Proportional to 467,564.20, 701,346.30 and 152,031.40

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Solution

The fourth proportional to 467,564.20, 701,346.30 and 152,031.40 is: 228,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,564.20 : 701,346.30 = 152,031.40 : x
  2. Step 2: Convert to fraction form
    467,564.20/701,346.30 = 152,031.40/x
  3. Step 3: Cross multiply
    467,564.20x = 701,346.30 × 152,031.40
  4. Step 4: Simplify right side
    467,564.20x = 106,626,659,873.82
  5. Step 5: Solve for x
    x = 106,626,659,873.82/467,564.20
  6. Step 6: Final answer
    x = 228,047.10

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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.