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Finding the Fourth Proportional to 314,193.60, 471,290.40 and 244,123.20

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Solution

The fourth proportional to 314,193.60, 471,290.40 and 244,123.20 is: 366,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,193.60 : 471,290.40 = 244,123.20 : x
  2. Step 2: Convert to fraction form
    314,193.60/471,290.40 = 244,123.20/x
  3. Step 3: Cross multiply
    314,193.60x = 471,290.40 × 244,123.20
  4. Step 4: Simplify right side
    314,193.60x = 115,052,920,577.28
  5. Step 5: Solve for x
    x = 115,052,920,577.28/314,193.60
  6. Step 6: Final answer
    x = 366,184.80

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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.