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Finding the Fourth Proportional to 470,897.70, 706,346.55 and 171,388.05

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Solution

The fourth proportional to 470,897.70, 706,346.55 and 171,388.05 is: 257,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.70 : 706,346.55 = 171,388.05 : x
  2. Step 2: Convert to fraction form
    470,897.70/706,346.55 = 171,388.05/x
  3. Step 3: Cross multiply
    470,897.70x = 706,346.55 × 171,388.05
  4. Step 4: Simplify right side
    470,897.70x = 121,059,357,828.73
  5. Step 5: Solve for x
    x = 121,059,357,828.73/470,897.70
  6. Step 6: Final answer
    x = 257,082.08

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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.