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Finding the Fourth Proportional to 470,105.70, 705,619.35 and 233,715.30

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Solution

The fourth proportional to 470,105.70, 705,619.35 and 233,715.30 is: 350,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,105.70 : 705,619.35 = 233,715.30 : x
  2. Step 2: Convert to fraction form
    470,105.70/705,619.35 = 233,715.30/x
  3. Step 3: Cross multiply
    470,105.70x = 705,619.35 × 233,715.30
  4. Step 4: Simplify right side
    470,105.70x = 164,914,038,071.06
  5. Step 5: Solve for x
    x = 164,914,038,071.06/470,105.70
  6. Step 6: Final answer
    x = 350,802.04

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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.