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Finding the Fourth Proportional to 566,704, 782,051.52 and 312,054.58

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Solution

The fourth proportional to 566,704, 782,051.52 and 312,054.58 is: 430,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,704 : 782,051.52 = 312,054.58 : x
  2. Step 2: Convert to fraction form
    566,704/782,051.52 = 312,054.58/x
  3. Step 3: Cross multiply
    566,704x = 782,051.52 × 312,054.58
  4. Step 4: Simplify right side
    566,704x = 244,042,758,611.96
  5. Step 5: Solve for x
    x = 244,042,758,611.96/566,704
  6. Step 6: Final answer
    x = 430,635.32

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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.