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Finding the Fourth Proportional to 533,031.90, 735,512.94 and 342,303.63

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Solution

The fourth proportional to 533,031.90, 735,512.94 and 342,303.63 is: 472,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,031.90 : 735,512.94 = 342,303.63 : x
  2. Step 2: Convert to fraction form
    533,031.90/735,512.94 = 342,303.63/x
  3. Step 3: Cross multiply
    533,031.90x = 735,512.94 × 342,303.63
  4. Step 4: Simplify right side
    533,031.90x = 251,768,749,273.97
  5. Step 5: Solve for x
    x = 251,768,749,273.97/533,031.90
  6. Step 6: Final answer
    x = 472,333.36

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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.