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Finding the Fourth Proportional to 314,503.66, 434,020.22 and 178,541.62

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Solution

The fourth proportional to 314,503.66, 434,020.22 and 178,541.62 is: 246,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,503.66 : 434,020.22 = 178,541.62 : x
  2. Step 2: Convert to fraction form
    314,503.66/434,020.22 = 178,541.62/x
  3. Step 3: Cross multiply
    314,503.66x = 434,020.22 × 178,541.62
  4. Step 4: Simplify right side
    314,503.66x = 77,490,672,887.63
  5. Step 5: Solve for x
    x = 77,490,672,887.63/314,503.66
  6. Step 6: Final answer
    x = 246,390.37

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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.