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Finding the Fourth Proportional to 415,246.14, 573,039.63 and 224,259.54

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Solution

The fourth proportional to 415,246.14, 573,039.63 and 224,259.54 is: 309,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,246.14 : 573,039.63 = 224,259.54 : x
  2. Step 2: Convert to fraction form
    415,246.14/573,039.63 = 224,259.54/x
  3. Step 3: Cross multiply
    415,246.14x = 573,039.63 × 224,259.54
  4. Step 4: Simplify right side
    415,246.14x = 128,509,603,825.57
  5. Step 5: Solve for x
    x = 128,509,603,825.57/415,246.14
  6. Step 6: Final answer
    x = 309,478.14

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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.