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Finding the Fourth Proportional to 415,729.86, 573,707.64 and 224,743.26

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Solution

The fourth proportional to 415,729.86, 573,707.64 and 224,743.26 is: 310,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,729.86 : 573,707.64 = 224,743.26 : x
  2. Step 2: Convert to fraction form
    415,729.86/573,707.64 = 224,743.26/x
  3. Step 3: Cross multiply
    415,729.86x = 573,707.64 × 224,743.26
  4. Step 4: Simplify right side
    415,729.86x = 128,936,925,300.51
  5. Step 5: Solve for x
    x = 128,936,925,300.51/415,729.86
  6. Step 6: Final answer
    x = 310,145.93

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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.