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Finding the Fourth Proportional to 470,981.19, 706,372.86 and 155,364.15

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Solution

The fourth proportional to 470,981.19, 706,372.86 and 155,364.15 is: 233,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,981.19 : 706,372.86 = 155,364.15 : x
  2. Step 2: Convert to fraction form
    470,981.19/706,372.86 = 155,364.15/x
  3. Step 3: Cross multiply
    470,981.19x = 706,372.86 × 155,364.15
  4. Step 4: Simplify right side
    470,981.19x = 109,745,018,976.97
  5. Step 5: Solve for x
    x = 109,745,018,976.97/470,981.19
  6. Step 6: Final answer
    x = 233,013.59

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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.