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Finding the Fourth Proportional to 477,307.26, 658,667.14 and 262,445.82

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Solution

The fourth proportional to 477,307.26, 658,667.14 and 262,445.82 is: 362,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,307.26 : 658,667.14 = 262,445.82 : x
  2. Step 2: Convert to fraction form
    477,307.26/658,667.14 = 262,445.82/x
  3. Step 3: Cross multiply
    477,307.26x = 658,667.14 × 262,445.82
  4. Step 4: Simplify right side
    477,307.26x = 172,864,437,664.36
  5. Step 5: Solve for x
    x = 172,864,437,664.36/477,307.26
  6. Step 6: Final answer
    x = 362,165.95

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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.