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Finding the Fourth Proportional to 560,414.73, 841,193.91 and 410,208.84

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Solution

The fourth proportional to 560,414.73, 841,193.91 and 410,208.84 is: 615,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,414.73 : 841,193.91 = 410,208.84 : x
  2. Step 2: Convert to fraction form
    560,414.73/841,193.91 = 410,208.84/x
  3. Step 3: Cross multiply
    560,414.73x = 841,193.91 × 410,208.84
  4. Step 4: Simplify right side
    560,414.73x = 345,065,178,036.16
  5. Step 5: Solve for x
    x = 345,065,178,036.16/560,414.73
  6. Step 6: Final answer
    x = 615,731.81

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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.