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Finding the Fourth Proportional to 556,562.86, 768,057 and 314,840.32

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Solution

The fourth proportional to 556,562.86, 768,057 and 314,840.32 is: 434,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,562.86 : 768,057 = 314,840.32 : x
  2. Step 2: Convert to fraction form
    556,562.86/768,057 = 314,840.32/x
  3. Step 3: Cross multiply
    556,562.86x = 768,057 × 314,840.32
  4. Step 4: Simplify right side
    556,562.86x = 241,815,311,658.24
  5. Step 5: Solve for x
    x = 241,815,311,658.24/556,562.86
  6. Step 6: Final answer
    x = 434,479.78

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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.