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Finding the Fourth Proportional to 470,814.34, 706,121.88 and 155,196.22

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Solution

The fourth proportional to 470,814.34, 706,121.88 and 155,196.22 is: 232,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,814.34 : 706,121.88 = 155,196.22 : x
  2. Step 2: Convert to fraction form
    470,814.34/706,121.88 = 155,196.22/x
  3. Step 3: Cross multiply
    470,814.34x = 706,121.88 × 155,196.22
  4. Step 4: Simplify right side
    470,814.34x = 109,587,446,635.29
  5. Step 5: Solve for x
    x = 109,587,446,635.29/470,814.34
  6. Step 6: Final answer
    x = 232,761.49

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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.