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Finding the Fourth Proportional to 533,085.77, 735,678.15 and 291,384.61

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Solution

The fourth proportional to 533,085.77, 735,678.15 and 291,384.61 is: 402,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,085.77 : 735,678.15 = 291,384.61 : x
  2. Step 2: Convert to fraction form
    533,085.77/735,678.15 = 291,384.61/x
  3. Step 3: Cross multiply
    533,085.77x = 735,678.15 × 291,384.61
  4. Step 4: Simplify right side
    533,085.77x = 214,365,287,891.38
  5. Step 5: Solve for x
    x = 214,365,287,891.38/533,085.77
  6. Step 6: Final answer
    x = 402,121.57

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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.