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Finding the Fourth Proportional to 295,014.20, 407,014.62 and 174,094.98

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Solution

The fourth proportional to 295,014.20, 407,014.62 and 174,094.98 is: 240,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,014.20 : 407,014.62 = 174,094.98 : x
  2. Step 2: Convert to fraction form
    295,014.20/407,014.62 = 174,094.98/x
  3. Step 3: Cross multiply
    295,014.20x = 407,014.62 × 174,094.98
  4. Step 4: Simplify right side
    295,014.20x = 70,859,202,128.61
  5. Step 5: Solve for x
    x = 70,859,202,128.61/295,014.20
  6. Step 6: Final answer
    x = 240,189.12

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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.