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Finding the Fourth Proportional to 415,707.84, 573,673.16 and 224,719.52

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Solution

The fourth proportional to 415,707.84, 573,673.16 and 224,719.52 is: 310,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,707.84 : 573,673.16 = 224,719.52 : x
  2. Step 2: Convert to fraction form
    415,707.84/573,673.16 = 224,719.52/x
  3. Step 3: Cross multiply
    415,707.84x = 573,673.16 × 224,719.52
  4. Step 4: Simplify right side
    415,707.84x = 128,915,557,152.08
  5. Step 5: Solve for x
    x = 128,915,557,152.08/415,707.84
  6. Step 6: Final answer
    x = 310,110.96

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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.