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Finding the Fourth Proportional to 470,994.86, 706,516.68 and 155,476.46

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Solution

The fourth proportional to 470,994.86, 706,516.68 and 155,476.46 is: 233,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,994.86 : 706,516.68 = 155,476.46 : x
  2. Step 2: Convert to fraction form
    470,994.86/706,516.68 = 155,476.46/x
  3. Step 3: Cross multiply
    470,994.86x = 706,516.68 × 155,476.46
  4. Step 4: Simplify right side
    470,994.86x = 109,846,712,337.35
  5. Step 5: Solve for x
    x = 109,846,712,337.35/470,994.86
  6. Step 6: Final answer
    x = 233,222.74

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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.