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Finding the Fourth Proportional to 306,795.90, 460,225.34 and 117,415.57

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Solution

The fourth proportional to 306,795.90, 460,225.34 and 117,415.57 is: 176,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,795.90 : 460,225.34 = 117,415.57 : x
  2. Step 2: Convert to fraction form
    306,795.90/460,225.34 = 117,415.57/x
  3. Step 3: Cross multiply
    306,795.90x = 460,225.34 × 117,415.57
  4. Step 4: Simplify right side
    306,795.90x = 54,037,620,624.54
  5. Step 5: Solve for x
    x = 54,037,620,624.54/306,795.90
  6. Step 6: Final answer
    x = 176,135.41

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1.5x scale

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.