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Finding the Fourth Proportional to 460,995.60, 691,253.49 and 176,600.86

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Solution

The fourth proportional to 460,995.60, 691,253.49 and 176,600.86 is: 264,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,995.60 : 691,253.49 = 176,600.86 : x
  2. Step 2: Convert to fraction form
    460,995.60/691,253.49 = 176,600.86/x
  3. Step 3: Cross multiply
    460,995.60x = 691,253.49 × 176,600.86
  4. Step 4: Simplify right side
    460,995.60x = 122,075,959,746.12
  5. Step 5: Solve for x
    x = 122,075,959,746.12/460,995.60
  6. Step 6: Final answer
    x = 264,809.38

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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.