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Finding the Fourth Proportional to 533,782, 736,628.52 and 292,085.74

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Solution

The fourth proportional to 533,782, 736,628.52 and 292,085.74 is: 403,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,782 : 736,628.52 = 292,085.74 : x
  2. Step 2: Convert to fraction form
    533,782/736,628.52 = 292,085.74/x
  3. Step 3: Cross multiply
    533,782x = 736,628.52 × 292,085.74
  4. Step 4: Simplify right side
    533,782x = 215,158,686,369.31
  5. Step 5: Solve for x
    x = 215,158,686,369.31/533,782
  6. Step 6: Final answer
    x = 403,083.44

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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.