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Finding the Fourth Proportional to 284,742.04, 427,117.20 and 74,380

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Solution

The fourth proportional to 284,742.04, 427,117.20 and 74,380 is: 111,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,742.04 : 427,117.20 = 74,380 : x
  2. Step 2: Convert to fraction form
    284,742.04/427,117.20 = 74,380/x
  3. Step 3: Cross multiply
    284,742.04x = 427,117.20 × 74,380
  4. Step 4: Simplify right side
    284,742.04x = 31,768,977,336
  5. Step 5: Solve for x
    x = 31,768,977,336/284,742.04
  6. Step 6: Final answer
    x = 111,571.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.