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Finding the Fourth Proportional to 533,129.15, 735,718.23 and 291,412.67

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Solution

The fourth proportional to 533,129.15, 735,718.23 and 291,412.67 is: 402,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,129.15 : 735,718.23 = 291,412.67 : x
  2. Step 2: Convert to fraction form
    533,129.15/735,718.23 = 291,412.67/x
  3. Step 3: Cross multiply
    533,129.15x = 735,718.23 × 291,412.67
  4. Step 4: Simplify right side
    533,129.15x = 214,397,610,093.38
  5. Step 5: Solve for x
    x = 214,397,610,093.38/533,129.15
  6. Step 6: Final answer
    x = 402,149.48

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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.