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Finding the Fourth Proportional to 460,907.60, 691,246.20 and 176,536.40

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Solution

The fourth proportional to 460,907.60, 691,246.20 and 176,536.40 is: 264,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,907.60 : 691,246.20 = 176,536.40 : x
  2. Step 2: Convert to fraction form
    460,907.60/691,246.20 = 176,536.40/x
  3. Step 3: Cross multiply
    460,907.60x = 691,246.20 × 176,536.40
  4. Step 4: Simplify right side
    460,907.60x = 122,030,115,661.68
  5. Step 5: Solve for x
    x = 122,030,115,661.68/460,907.60
  6. Step 6: Final answer
    x = 264,760.48

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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.