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Finding the Fourth Proportional to 501,439.75, 692,110.33 and 307,893.84

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Solution

The fourth proportional to 501,439.75, 692,110.33 and 307,893.84 is: 424,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,439.75 : 692,110.33 = 307,893.84 : x
  2. Step 2: Convert to fraction form
    501,439.75/692,110.33 = 307,893.84/x
  3. Step 3: Cross multiply
    501,439.75x = 692,110.33 × 307,893.84
  4. Step 4: Simplify right side
    501,439.75x = 213,096,506,980.38
  5. Step 5: Solve for x
    x = 213,096,506,980.38/501,439.75
  6. Step 6: Final answer
    x = 424,969.31

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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.