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Finding the Fourth Proportional to 401,951.34, 602,138.76 and 233,116.98

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Solution

The fourth proportional to 401,951.34, 602,138.76 and 233,116.98 is: 349,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,951.34 : 602,138.76 = 233,116.98 : x
  2. Step 2: Convert to fraction form
    401,951.34/602,138.76 = 233,116.98/x
  3. Step 3: Cross multiply
    401,951.34x = 602,138.76 × 233,116.98
  4. Step 4: Simplify right side
    401,951.34x = 140,368,768,397.96
  5. Step 5: Solve for x
    x = 140,368,768,397.96/401,951.34
  6. Step 6: Final answer
    x = 349,218.32

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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.