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Finding the Fourth Proportional to 456,810.66, 685,281.78 and 141,292.08

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Solution

The fourth proportional to 456,810.66, 685,281.78 and 141,292.08 is: 211,958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,810.66 : 685,281.78 = 141,292.08 : x
  2. Step 2: Convert to fraction form
    456,810.66/685,281.78 = 141,292.08/x
  3. Step 3: Cross multiply
    456,810.66x = 685,281.78 × 141,292.08
  4. Step 4: Simplify right side
    456,810.66x = 96,824,888,082.30
  5. Step 5: Solve for x
    x = 96,824,888,082.30/456,810.66
  6. Step 6: Final answer
    x = 211,958.47

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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.