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Finding the Fourth Proportional to 4,761,728.02, 7,144,484.48 and 1,523,764.50

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Solution

The fourth proportional to 4,761,728.02, 7,144,484.48 and 1,523,764.50 is: 2,286,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,728.02 : 7,144,484.48 = 1,523,764.50 : x
  2. Step 2: Convert to fraction form
    4,761,728.02/7,144,484.48 = 1,523,764.50/x
  3. Step 3: Cross multiply
    4,761,728.02x = 7,144,484.48 × 1,523,764.50
  4. Step 4: Simplify right side
    4,761,728.02x = 10,886,511,821,424.96
  5. Step 5: Solve for x
    x = 10,886,511,821,424.96/4,761,728.02
  6. Step 6: Final answer
    x = 2,286,252.34

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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.