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Finding the Fourth Proportional to 471,580.92, 707,482.04 and 156,037.80

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Solution

The fourth proportional to 471,580.92, 707,482.04 and 156,037.80 is: 234,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,580.92 : 707,482.04 = 156,037.80 : x
  2. Step 2: Convert to fraction form
    471,580.92/707,482.04 = 156,037.80/x
  3. Step 3: Cross multiply
    471,580.92x = 707,482.04 × 156,037.80
  4. Step 4: Simplify right side
    471,580.92x = 110,393,941,061.11
  5. Step 5: Solve for x
    x = 110,393,941,061.11/471,580.92
  6. Step 6: Final answer
    x = 234,093.32

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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.