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Finding the Fourth Proportional to 470,981.97, 706,374 and 155,364.93

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Solution

The fourth proportional to 470,981.97, 706,374 and 155,364.93 is: 233,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,981.97 : 706,374 = 155,364.93 : x
  2. Step 2: Convert to fraction form
    470,981.97/706,374 = 155,364.93/x
  3. Step 3: Cross multiply
    470,981.97x = 706,374 × 155,364.93
  4. Step 4: Simplify right side
    470,981.97x = 109,745,747,063.82
  5. Step 5: Solve for x
    x = 109,745,747,063.82/470,981.97
  6. Step 6: Final answer
    x = 233,014.75

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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.