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Finding the Fourth Proportional to 632,078.54, 947,598.40 and 294,952.49

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Solution

The fourth proportional to 632,078.54, 947,598.40 and 294,952.49 is: 442,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,078.54 : 947,598.40 = 294,952.49 : x
  2. Step 2: Convert to fraction form
    632,078.54/947,598.40 = 294,952.49/x
  3. Step 3: Cross multiply
    632,078.54x = 947,598.40 × 294,952.49
  4. Step 4: Simplify right side
    632,078.54x = 279,496,505,125.10
  5. Step 5: Solve for x
    x = 279,496,505,125.10/632,078.54
  6. Step 6: Final answer
    x = 442,186.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.