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Finding the Fourth Proportional to 456,698.55, 685,199.96 and 153,122.75

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Solution

The fourth proportional to 456,698.55, 685,199.96 and 153,122.75 is: 229,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,698.55 : 685,199.96 = 153,122.75 : x
  2. Step 2: Convert to fraction form
    456,698.55/685,199.96 = 153,122.75/x
  3. Step 3: Cross multiply
    456,698.55x = 685,199.96 × 153,122.75
  4. Step 4: Simplify right side
    456,698.55x = 104,919,697,983.48
  5. Step 5: Solve for x
    x = 104,919,697,983.48/456,698.55
  6. Step 6: Final answer
    x = 229,735.12

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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.