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Finding the Fourth Proportional to 470,051.34, 704,927.43 and 154,435.38

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Solution

The fourth proportional to 470,051.34, 704,927.43 and 154,435.38 is: 231,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,051.34 : 704,927.43 = 154,435.38 : x
  2. Step 2: Convert to fraction form
    470,051.34/704,927.43 = 154,435.38/x
  3. Step 3: Cross multiply
    470,051.34x = 704,927.43 × 154,435.38
  4. Step 4: Simplify right side
    470,051.34x = 108,865,735,524.47
  5. Step 5: Solve for x
    x = 108,865,735,524.47/470,051.34
  6. Step 6: Final answer
    x = 231,603.93

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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.