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Finding the Fourth Proportional to 470,908.13, 706,806.14 and 171,677.93

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Solution

The fourth proportional to 470,908.13, 706,806.14 and 171,677.93 is: 257,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,908.13 : 706,806.14 = 171,677.93 : x
  2. Step 2: Convert to fraction form
    470,908.13/706,806.14 = 171,677.93/x
  3. Step 3: Cross multiply
    470,908.13x = 706,806.14 × 171,677.93
  4. Step 4: Simplify right side
    470,908.13x = 121,343,015,026.49
  5. Step 5: Solve for x
    x = 121,343,015,026.49/470,908.13
  6. Step 6: Final answer
    x = 257,678.74

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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.