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Finding the Fourth Proportional to 533,085.28, 735,586.68 and 342,357.04

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Solution

The fourth proportional to 533,085.28, 735,586.68 and 342,357.04 is: 472,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,085.28 : 735,586.68 = 342,357.04 : x
  2. Step 2: Convert to fraction form
    533,085.28/735,586.68 = 342,357.04/x
  3. Step 3: Cross multiply
    533,085.28x = 735,586.68 × 342,357.04
  4. Step 4: Simplify right side
    533,085.28x = 251,833,278,428.23
  5. Step 5: Solve for x
    x = 251,833,278,428.23/533,085.28
  6. Step 6: Final answer
    x = 472,407.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.