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Finding the Fourth Proportional to 535,741.68, 803,735.25 and 232,186.78

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Solution

The fourth proportional to 535,741.68, 803,735.25 and 232,186.78 is: 348,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,741.68 : 803,735.25 = 232,186.78 : x
  2. Step 2: Convert to fraction form
    535,741.68/803,735.25 = 232,186.78/x
  3. Step 3: Cross multiply
    535,741.68x = 803,735.25 × 232,186.78
  4. Step 4: Simplify right side
    535,741.68x = 186,616,699,670.00
  5. Step 5: Solve for x
    x = 186,616,699,670.00/535,741.68
  6. Step 6: Final answer
    x = 348,333.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.