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Finding the Fourth Proportional to 310,146.64, 427,970.34 and 174,195.40

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Solution

The fourth proportional to 310,146.64, 427,970.34 and 174,195.40 is: 240,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,146.64 : 427,970.34 = 174,195.40 : x
  2. Step 2: Convert to fraction form
    310,146.64/427,970.34 = 174,195.40/x
  3. Step 3: Cross multiply
    310,146.64x = 427,970.34 × 174,195.40
  4. Step 4: Simplify right side
    310,146.64x = 74,550,464,564.44
  5. Step 5: Solve for x
    x = 74,550,464,564.44/310,146.64
  6. Step 6: Final answer
    x = 240,371.67

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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.