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Finding the Fourth Proportional to 314,804.96, 472,346.90 and 165,009.64

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Solution

The fourth proportional to 314,804.96, 472,346.90 and 165,009.64 is: 247,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,804.96 : 472,346.90 = 165,009.64 : x
  2. Step 2: Convert to fraction form
    314,804.96/472,346.90 = 165,009.64/x
  3. Step 3: Cross multiply
    314,804.96x = 472,346.90 × 165,009.64
  4. Step 4: Simplify right side
    314,804.96x = 77,941,791,924.12
  5. Step 5: Solve for x
    x = 77,941,791,924.12/314,804.96
  6. Step 6: Final answer
    x = 247,587.56

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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.