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Finding the Fourth Proportional to 567,357.60, 782,970.96 and 325,684.32

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Solution

The fourth proportional to 567,357.60, 782,970.96 and 325,684.32 is: 449,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,357.60 : 782,970.96 = 325,684.32 : x
  2. Step 2: Convert to fraction form
    567,357.60/782,970.96 = 325,684.32/x
  3. Step 3: Cross multiply
    567,357.60x = 782,970.96 × 325,684.32
  4. Step 4: Simplify right side
    567,357.60x = 255,001,364,687.35
  5. Step 5: Solve for x
    x = 255,001,364,687.35/567,357.60
  6. Step 6: Final answer
    x = 449,454.39

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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.