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Finding the Fourth Proportional to 475,031.08, 712,480.74 and 120,023.24

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Solution

The fourth proportional to 475,031.08, 712,480.74 and 120,023.24 is: 180,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,031.08 : 712,480.74 = 120,023.24 : x
  2. Step 2: Convert to fraction form
    475,031.08/712,480.74 = 120,023.24/x
  3. Step 3: Cross multiply
    475,031.08x = 712,480.74 × 120,023.24
  4. Step 4: Simplify right side
    475,031.08x = 85,514,246,852.40
  5. Step 5: Solve for x
    x = 85,514,246,852.40/475,031.08
  6. Step 6: Final answer
    x = 180,018.21

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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.