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Finding the Fourth Proportional to 401,460.86, 602,191.53 and 101,963.90

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Solution

The fourth proportional to 401,460.86, 602,191.53 and 101,963.90 is: 152,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,460.86 : 602,191.53 = 101,963.90 : x
  2. Step 2: Convert to fraction form
    401,460.86/602,191.53 = 101,963.90/x
  3. Step 3: Cross multiply
    401,460.86x = 602,191.53 × 101,963.90
  4. Step 4: Simplify right side
    401,460.86x = 61,401,796,945.77
  5. Step 5: Solve for x
    x = 61,401,796,945.77/401,460.86
  6. Step 6: Final answer
    x = 152,945.91

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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.