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Finding the Fourth Proportional to 511,313.40, 766,970.10 and 290,129.40

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Solution

The fourth proportional to 511,313.40, 766,970.10 and 290,129.40 is: 435,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,313.40 : 766,970.10 = 290,129.40 : x
  2. Step 2: Convert to fraction form
    511,313.40/766,970.10 = 290,129.40/x
  3. Step 3: Cross multiply
    511,313.40x = 766,970.10 × 290,129.40
  4. Step 4: Simplify right side
    511,313.40x = 222,520,574,930.94
  5. Step 5: Solve for x
    x = 222,520,574,930.94/511,313.40
  6. Step 6: Final answer
    x = 435,194.10

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Similar ratio
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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.