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Finding the Fourth Proportional to 771,464.10, 1,064,390.14 and 499,100.56

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Solution

The fourth proportional to 771,464.10, 1,064,390.14 and 499,100.56 is: 688,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,464.10 : 1,064,390.14 = 499,100.56 : x
  2. Step 2: Convert to fraction form
    771,464.10/1,064,390.14 = 499,100.56/x
  3. Step 3: Cross multiply
    771,464.10x = 1,064,390.14 × 499,100.56
  4. Step 4: Simplify right side
    771,464.10x = 531,237,714,932.48
  5. Step 5: Solve for x
    x = 531,237,714,932.48/771,464.10
  6. Step 6: Final answer
    x = 688,609.77

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