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Finding the Fourth Proportional to 704,971.15, 972,861.41 and 382,681.46

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Solution

The fourth proportional to 704,971.15, 972,861.41 and 382,681.46 is: 528,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,971.15 : 972,861.41 = 382,681.46 : x
  2. Step 2: Convert to fraction form
    704,971.15/972,861.41 = 382,681.46/x
  3. Step 3: Cross multiply
    704,971.15x = 972,861.41 × 382,681.46
  4. Step 4: Simplify right side
    704,971.15x = 372,296,028,145.32
  5. Step 5: Solve for x
    x = 372,296,028,145.32/704,971.15
  6. Step 6: Final answer
    x = 528,101.09

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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.