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Finding the Fourth Proportional to 385,403.60, 577,068.60 and 301,768.40

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Solution

The fourth proportional to 385,403.60, 577,068.60 and 301,768.40 is: 451,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,403.60 : 577,068.60 = 301,768.40 : x
  2. Step 2: Convert to fraction form
    385,403.60/577,068.60 = 301,768.40/x
  3. Step 3: Cross multiply
    385,403.60x = 577,068.60 × 301,768.40
  4. Step 4: Simplify right side
    385,403.60x = 174,141,068,112.24
  5. Step 5: Solve for x
    x = 174,141,068,112.24/385,403.60
  6. Step 6: Final answer
    x = 451,840.79

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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.