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Finding the Fourth Proportional to 415,746.36, 573,729.48 and 224,759.16

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Solution

The fourth proportional to 415,746.36, 573,729.48 and 224,759.16 is: 310,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,746.36 : 573,729.48 = 224,759.16 : x
  2. Step 2: Convert to fraction form
    415,746.36/573,729.48 = 224,759.16/x
  3. Step 3: Cross multiply
    415,746.36x = 573,729.48 × 224,759.16
  4. Step 4: Simplify right side
    415,746.36x = 128,950,955,992.04
  5. Step 5: Solve for x
    x = 128,950,955,992.04/415,746.36
  6. Step 6: Final answer
    x = 310,167.37

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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.