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Finding the Fourth Proportional to 310,841.14, 428,960.07 and 174,875.14

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Solution

The fourth proportional to 310,841.14, 428,960.07 and 174,875.14 is: 241,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,841.14 : 428,960.07 = 174,875.14 : x
  2. Step 2: Convert to fraction form
    310,841.14/428,960.07 = 174,875.14/x
  3. Step 3: Cross multiply
    310,841.14x = 428,960.07 × 174,875.14
  4. Step 4: Simplify right side
    310,841.14x = 75,014,452,295.66
  5. Step 5: Solve for x
    x = 75,014,452,295.66/310,841.14
  6. Step 6: Final answer
    x = 241,327.30

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1.5x scale

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.