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Finding the Fourth Proportional to 307,670.35, 461,483.61 and 83,043.58

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Solution

The fourth proportional to 307,670.35, 461,483.61 and 83,043.58 is: 124,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,670.35 : 461,483.61 = 83,043.58 : x
  2. Step 2: Convert to fraction form
    307,670.35/461,483.61 = 83,043.58/x
  3. Step 3: Cross multiply
    307,670.35x = 461,483.61 × 83,043.58
  4. Step 4: Simplify right side
    307,670.35x = 38,323,251,085.72
  5. Step 5: Solve for x
    x = 38,323,251,085.72/307,670.35
  6. Step 6: Final answer
    x = 124,559.45

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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.