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Finding the Fourth Proportional to 470,642.04, 705,956.94 and 115,659.18

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Solution

The fourth proportional to 470,642.04, 705,956.94 and 115,659.18 is: 173,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,642.04 : 705,956.94 = 115,659.18 : x
  2. Step 2: Convert to fraction form
    470,642.04/705,956.94 = 115,659.18/x
  3. Step 3: Cross multiply
    470,642.04x = 705,956.94 × 115,659.18
  4. Step 4: Simplify right side
    470,642.04x = 81,650,400,795.71
  5. Step 5: Solve for x
    x = 81,650,400,795.71/470,642.04
  6. Step 6: Final answer
    x = 173,487.27

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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.