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Finding the Fourth Proportional to 533,062.81, 735,614.22 and 291,346.93

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Solution

The fourth proportional to 533,062.81, 735,614.22 and 291,346.93 is: 402,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,062.81 : 735,614.22 = 291,346.93 : x
  2. Step 2: Convert to fraction form
    533,062.81/735,614.22 = 291,346.93/x
  3. Step 3: Cross multiply
    533,062.81x = 735,614.22 × 291,346.93
  4. Step 4: Simplify right side
    533,062.81x = 214,318,944,661.35
  5. Step 5: Solve for x
    x = 214,318,944,661.35/533,062.81
  6. Step 6: Final answer
    x = 402,051.95

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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.