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Finding the Fourth Proportional to 477,101.14, 715,540.94 and 140,051.28

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Solution

The fourth proportional to 477,101.14, 715,540.94 and 140,051.28 is: 210,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,101.14 : 715,540.94 = 140,051.28 : x
  2. Step 2: Convert to fraction form
    477,101.14/715,540.94 = 140,051.28/x
  3. Step 3: Cross multiply
    477,101.14x = 715,540.94 × 140,051.28
  4. Step 4: Simplify right side
    477,101.14x = 100,212,424,539.40
  5. Step 5: Solve for x
    x = 100,212,424,539.40/477,101.14
  6. Step 6: Final answer
    x = 210,044.40

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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.