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Finding the Fourth Proportional to 307,595.93, 461,077.24 and 118,005.81

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Solution

The fourth proportional to 307,595.93, 461,077.24 and 118,005.81 is: 176,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,595.93 : 461,077.24 = 118,005.81 : x
  2. Step 2: Convert to fraction form
    307,595.93/461,077.24 = 118,005.81/x
  3. Step 3: Cross multiply
    307,595.93x = 461,077.24 × 118,005.81
  4. Step 4: Simplify right side
    307,595.93x = 54,409,793,637.64
  5. Step 5: Solve for x
    x = 54,409,793,637.64/307,595.93
  6. Step 6: Final answer
    x = 176,887.23

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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.