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Finding the Fourth Proportional to 461,490.99, 692,309.67 and 195,253.50

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Solution

The fourth proportional to 461,490.99, 692,309.67 and 195,253.50 is: 292,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,490.99 : 692,309.67 = 195,253.50 : x
  2. Step 2: Convert to fraction form
    461,490.99/692,309.67 = 195,253.50/x
  3. Step 3: Cross multiply
    461,490.99x = 692,309.67 × 195,253.50
  4. Step 4: Simplify right side
    461,490.99x = 135,175,886,151.35
  5. Step 5: Solve for x
    x = 135,175,886,151.35/461,490.99
  6. Step 6: Final answer
    x = 292,911.21

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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.