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Finding the Fourth Proportional to 475,029.08, 712,477.74 and 120,021.24

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Solution

The fourth proportional to 475,029.08, 712,477.74 and 120,021.24 is: 180,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,029.08 : 712,477.74 = 120,021.24 : x
  2. Step 2: Convert to fraction form
    475,029.08/712,477.74 = 120,021.24/x
  3. Step 3: Cross multiply
    475,029.08x = 712,477.74 × 120,021.24
  4. Step 4: Simplify right side
    475,029.08x = 85,512,461,827.20
  5. Step 5: Solve for x
    x = 85,512,461,827.20/475,029.08
  6. Step 6: Final answer
    x = 180,015.21

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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.