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Finding the Fourth Proportional to 533,031.38, 735,512.24 and 342,303.12

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Solution

The fourth proportional to 533,031.38, 735,512.24 and 342,303.12 is: 472,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,031.38 : 735,512.24 = 342,303.12 : x
  2. Step 2: Convert to fraction form
    533,031.38/735,512.24 = 342,303.12/x
  3. Step 3: Cross multiply
    533,031.38x = 735,512.24 × 342,303.12
  4. Step 4: Simplify right side
    533,031.38x = 251,768,134,550.19
  5. Step 5: Solve for x
    x = 251,768,134,550.19/533,031.38
  6. Step 6: Final answer
    x = 472,332.67

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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.