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Finding the Fourth Proportional to 533,032.90, 735,514.32 and 342,304.63

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Solution

The fourth proportional to 533,032.90, 735,514.32 and 342,304.63 is: 472,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,032.90 : 735,514.32 = 342,304.63 : x
  2. Step 2: Convert to fraction form
    533,032.90/735,514.32 = 342,304.63/x
  3. Step 3: Cross multiply
    533,032.90x = 735,514.32 × 342,304.63
  4. Step 4: Simplify right side
    533,032.90x = 251,769,957,167.30
  5. Step 5: Solve for x
    x = 251,769,957,167.30/533,032.90
  6. Step 6: Final answer
    x = 472,334.74

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