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Finding the Fourth Proportional to 475,038.08, 712,491.24 and 120,030.24

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Solution

The fourth proportional to 475,038.08, 712,491.24 and 120,030.24 is: 180,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,038.08 : 712,491.24 = 120,030.24 : x
  2. Step 2: Convert to fraction form
    475,038.08/712,491.24 = 120,030.24/x
  3. Step 3: Cross multiply
    475,038.08x = 712,491.24 × 120,030.24
  4. Step 4: Simplify right side
    475,038.08x = 85,520,494,535.10
  5. Step 5: Solve for x
    x = 85,520,494,535.10/475,038.08
  6. Step 6: Final answer
    x = 180,028.71

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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.