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Finding the Fourth Proportional to 552,667.50, 762,681.24 and 314,203.50

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Solution

The fourth proportional to 552,667.50, 762,681.24 and 314,203.50 is: 433,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,667.50 : 762,681.24 = 314,203.50 : x
  2. Step 2: Convert to fraction form
    552,667.50/762,681.24 = 314,203.50/x
  3. Step 3: Cross multiply
    552,667.50x = 762,681.24 × 314,203.50
  4. Step 4: Simplify right side
    552,667.50x = 239,637,114,992.34
  5. Step 5: Solve for x
    x = 239,637,114,992.34/552,667.50
  6. Step 6: Final answer
    x = 433,600.88

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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.