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Finding the Fourth Proportional to 457,221.02, 685,580.97 and 141,590.30

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Solution

The fourth proportional to 457,221.02, 685,580.97 and 141,590.30 is: 212,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,221.02 : 685,580.97 = 141,590.30 : x
  2. Step 2: Convert to fraction form
    457,221.02/685,580.97 = 141,590.30/x
  3. Step 3: Cross multiply
    457,221.02x = 685,580.97 × 141,590.30
  4. Step 4: Simplify right side
    457,221.02x = 97,071,615,216.59
  5. Step 5: Solve for x
    x = 97,071,615,216.59/457,221.02
  6. Step 6: Final answer
    x = 212,307.86

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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.