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Finding the Fourth Proportional to 535,661.92, 803,994 and 283,129.84

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Solution

The fourth proportional to 535,661.92, 803,994 and 283,129.84 is: 424,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,661.92 : 803,994 = 283,129.84 : x
  2. Step 2: Convert to fraction form
    535,661.92/803,994 = 283,129.84/x
  3. Step 3: Cross multiply
    535,661.92x = 803,994 × 283,129.84
  4. Step 4: Simplify right side
    535,661.92x = 227,634,692,580.96
  5. Step 5: Solve for x
    x = 227,634,692,580.96/535,661.92
  6. Step 6: Final answer
    x = 424,959.63

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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.