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Finding the Fourth Proportional to 470,595.54, 706,031.86 and 171,071.40

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Solution

The fourth proportional to 470,595.54, 706,031.86 and 171,071.40 is: 256,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,595.54 : 706,031.86 = 171,071.40 : x
  2. Step 2: Convert to fraction form
    470,595.54/706,031.86 = 171,071.40/x
  3. Step 3: Cross multiply
    470,595.54x = 706,031.86 × 171,071.40
  4. Step 4: Simplify right side
    470,595.54x = 120,781,858,734.80
  5. Step 5: Solve for x
    x = 120,781,858,734.80/470,595.54
  6. Step 6: Final answer
    x = 256,657.47

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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.