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Finding the Fourth Proportional to 294,970.95, 407,113.02 and 174,105.18

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Solution

The fourth proportional to 294,970.95, 407,113.02 and 174,105.18 is: 240,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,970.95 : 407,113.02 = 174,105.18 : x
  2. Step 2: Convert to fraction form
    294,970.95/407,113.02 = 174,105.18/x
  3. Step 3: Cross multiply
    294,970.95x = 407,113.02 × 174,105.18
  4. Step 4: Simplify right side
    294,970.95x = 70,880,485,627.44
  5. Step 5: Solve for x
    x = 70,880,485,627.44/294,970.95
  6. Step 6: Final answer
    x = 240,296.50

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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.