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Finding the Fourth Proportional to 533,094.52, 735,668.66 and 291,376.96

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Solution

The fourth proportional to 533,094.52, 735,668.66 and 291,376.96 is: 402,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,094.52 : 735,668.66 = 291,376.96 : x
  2. Step 2: Convert to fraction form
    533,094.52/735,668.66 = 291,376.96/x
  3. Step 3: Cross multiply
    533,094.52x = 735,668.66 × 291,376.96
  4. Step 4: Simplify right side
    533,094.52x = 214,356,897,718.07
  5. Step 5: Solve for x
    x = 214,356,897,718.07/533,094.52
  6. Step 6: Final answer
    x = 402,099.23

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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.