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Finding the Fourth Proportional to 403,506.54, 556,905.60 and 307,832.58

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Solution

The fourth proportional to 403,506.54, 556,905.60 and 307,832.58 is: 424,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,506.54 : 556,905.60 = 307,832.58 : x
  2. Step 2: Convert to fraction form
    403,506.54/556,905.60 = 307,832.58/x
  3. Step 3: Cross multiply
    403,506.54x = 556,905.60 × 307,832.58
  4. Step 4: Simplify right side
    403,506.54x = 171,433,687,664.45
  5. Step 5: Solve for x
    x = 171,433,687,664.45/403,506.54
  6. Step 6: Final answer
    x = 424,859.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.