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Finding the Fourth Proportional to 456,850.80, 685,303.08 and 176,369.52

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Solution

The fourth proportional to 456,850.80, 685,303.08 and 176,369.52 is: 264,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,850.80 : 685,303.08 = 176,369.52 : x
  2. Step 2: Convert to fraction form
    456,850.80/685,303.08 = 176,369.52/x
  3. Step 3: Cross multiply
    456,850.80x = 685,303.08 × 176,369.52
  4. Step 4: Simplify right side
    456,850.80x = 120,866,575,274.12
  5. Step 5: Solve for x
    x = 120,866,575,274.12/456,850.80
  6. Step 6: Final answer
    x = 264,564.66

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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.