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Finding the Fourth Proportional to 460,487, 691,124.16 and 180,201.08

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Solution

The fourth proportional to 460,487, 691,124.16 and 180,201.08 is: 270,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,487 : 691,124.16 = 180,201.08 : x
  2. Step 2: Convert to fraction form
    460,487/691,124.16 = 180,201.08/x
  3. Step 3: Cross multiply
    460,487x = 691,124.16 × 180,201.08
  4. Step 4: Simplify right side
    460,487x = 124,541,320,046.09
  5. Step 5: Solve for x
    x = 124,541,320,046.09/460,487
  6. Step 6: Final answer
    x = 270,455.67

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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.