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Finding the Fourth Proportional to 470,815.34, 706,123.38 and 155,197.22

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Solution

The fourth proportional to 470,815.34, 706,123.38 and 155,197.22 is: 232,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,815.34 : 706,123.38 = 155,197.22 : x
  2. Step 2: Convert to fraction form
    470,815.34/706,123.38 = 155,197.22/x
  3. Step 3: Cross multiply
    470,815.34x = 706,123.38 × 155,197.22
  4. Step 4: Simplify right side
    470,815.34x = 109,588,385,553.00
  5. Step 5: Solve for x
    x = 109,588,385,553.00/470,815.34
  6. Step 6: Final answer
    x = 232,762.99

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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.