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Finding the Fourth Proportional to 514,032.22, 771,122.04 and 159,074.02

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Solution

The fourth proportional to 514,032.22, 771,122.04 and 159,074.02 is: 238,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,032.22 : 771,122.04 = 159,074.02 : x
  2. Step 2: Convert to fraction form
    514,032.22/771,122.04 = 159,074.02/x
  3. Step 3: Cross multiply
    514,032.22x = 771,122.04 × 159,074.02
  4. Step 4: Simplify right side
    514,032.22x = 122,665,482,813.40
  5. Step 5: Solve for x
    x = 122,665,482,813.40/514,032.22
  6. Step 6: Final answer
    x = 238,633.84

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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.