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Finding the Fourth Proportional to 472,701.44, 709,051.80 and 140,277.44

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Solution

The fourth proportional to 472,701.44, 709,051.80 and 140,277.44 is: 210,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,701.44 : 709,051.80 = 140,277.44 : x
  2. Step 2: Convert to fraction form
    472,701.44/709,051.80 = 140,277.44/x
  3. Step 3: Cross multiply
    472,701.44x = 709,051.80 × 140,277.44
  4. Step 4: Simplify right side
    472,701.44x = 99,463,971,331.39
  5. Step 5: Solve for x
    x = 99,463,971,331.39/472,701.44
  6. Step 6: Final answer
    x = 210,416.05

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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.