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Finding the Fourth Proportional to 314,031.76, 470,976.88 and 89,387.23

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Solution

The fourth proportional to 314,031.76, 470,976.88 and 89,387.23 is: 134,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,031.76 : 470,976.88 = 89,387.23 : x
  2. Step 2: Convert to fraction form
    314,031.76/470,976.88 = 89,387.23/x
  3. Step 3: Cross multiply
    314,031.76x = 470,976.88 × 89,387.23
  4. Step 4: Simplify right side
    314,031.76x = 42,099,318,697.24
  5. Step 5: Solve for x
    x = 42,099,318,697.24/314,031.76
  6. Step 6: Final answer
    x = 134,060.70

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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.