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Finding the Fourth Proportional to 6,174,178.92, 8,523,328.70 and 4,340,209.32

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Solution

The fourth proportional to 6,174,178.92, 8,523,328.70 and 4,340,209.32 is: 5,991,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174,178.92 : 8,523,328.70 = 4,340,209.32 : x
  2. Step 2: Convert to fraction form
    6,174,178.92/8,523,328.70 = 4,340,209.32/x
  3. Step 3: Cross multiply
    6,174,178.92x = 8,523,328.70 × 4,340,209.32
  4. Step 4: Simplify right side
    6,174,178.92x = 36,993,030,672,014.02
  5. Step 5: Solve for x
    x = 36,993,030,672,014.02/6,174,178.92
  6. Step 6: Final answer
    x = 5,991,570.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.