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Finding the Fourth Proportional to 654,233.06, 902,846.61 and 363,848.70

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Solution

The fourth proportional to 654,233.06, 902,846.61 and 363,848.70 is: 502,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,233.06 : 902,846.61 = 363,848.70 : x
  2. Step 2: Convert to fraction form
    654,233.06/902,846.61 = 363,848.70/x
  3. Step 3: Cross multiply
    654,233.06x = 902,846.61 × 363,848.70
  4. Step 4: Simplify right side
    654,233.06x = 328,499,565,347.91
  5. Step 5: Solve for x
    x = 328,499,565,347.91/654,233.06
  6. Step 6: Final answer
    x = 502,113.98

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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.