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Finding the Fourth Proportional to 415,840.51, 573,859.48 and 224,853.45

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Solution

The fourth proportional to 415,840.51, 573,859.48 and 224,853.45 is: 310,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,840.51 : 573,859.48 = 224,853.45 : x
  2. Step 2: Convert to fraction form
    415,840.51/573,859.48 = 224,853.45/x
  3. Step 3: Cross multiply
    415,840.51x = 573,859.48 × 224,853.45
  4. Step 4: Simplify right side
    415,840.51x = 129,034,283,893.21
  5. Step 5: Solve for x
    x = 129,034,283,893.21/415,840.51
  6. Step 6: Final answer
    x = 310,297.53

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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.