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Finding the Fourth Proportional to 377,946, 566,977.32 and 141,322.32

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Solution

The fourth proportional to 377,946, 566,977.32 and 141,322.32 is: 212,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,946 : 566,977.32 = 141,322.32 : x
  2. Step 2: Convert to fraction form
    377,946/566,977.32 = 141,322.32/x
  3. Step 3: Cross multiply
    377,946x = 566,977.32 × 141,322.32
  4. Step 4: Simplify right side
    377,946x = 80,126,550,249.78
  5. Step 5: Solve for x
    x = 80,126,550,249.78/377,946
  6. Step 6: Final answer
    x = 212,005.29

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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.