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Finding the Fourth Proportional to 475,009.32, 712,447.74 and 120,001.32

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Solution

The fourth proportional to 475,009.32, 712,447.74 and 120,001.32 is: 179,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,009.32 : 712,447.74 = 120,001.32 : x
  2. Step 2: Convert to fraction form
    475,009.32/712,447.74 = 120,001.32/x
  3. Step 3: Cross multiply
    475,009.32x = 712,447.74 × 120,001.32
  4. Step 4: Simplify right side
    475,009.32x = 85,494,669,231.02
  5. Step 5: Solve for x
    x = 85,494,669,231.02/475,009.32
  6. Step 6: Final answer
    x = 179,985.25

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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.