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Finding the Fourth Proportional to 415,853.28, 623,263.14 and 190,975.14

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Solution

The fourth proportional to 415,853.28, 623,263.14 and 190,975.14 is: 286,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,853.28 : 623,263.14 = 190,975.14 : x
  2. Step 2: Convert to fraction form
    415,853.28/623,263.14 = 190,975.14/x
  3. Step 3: Cross multiply
    415,853.28x = 623,263.14 × 190,975.14
  4. Step 4: Simplify right side
    415,853.28x = 119,027,765,418.34
  5. Step 5: Solve for x
    x = 119,027,765,418.34/415,853.28
  6. Step 6: Final answer
    x = 286,225.39

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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.