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Finding the Fourth Proportional to 533,046.10, 735,601.87 and 291,328.62

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Solution

The fourth proportional to 533,046.10, 735,601.87 and 291,328.62 is: 402,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,046.10 : 735,601.87 = 291,328.62 : x
  2. Step 2: Convert to fraction form
    533,046.10/735,601.87 = 291,328.62/x
  3. Step 3: Cross multiply
    533,046.10x = 735,601.87 × 291,328.62
  4. Step 4: Simplify right side
    533,046.10x = 214,301,877,656.52
  5. Step 5: Solve for x
    x = 214,301,877,656.52/533,046.10
  6. Step 6: Final answer
    x = 402,032.54

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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.