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Finding the Fourth Proportional to 406,078.36, 560,381.35 and 224,786.45

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Solution

The fourth proportional to 406,078.36, 560,381.35 and 224,786.45 is: 310,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,078.36 : 560,381.35 = 224,786.45 : x
  2. Step 2: Convert to fraction form
    406,078.36/560,381.35 = 224,786.45/x
  3. Step 3: Cross multiply
    406,078.36x = 560,381.35 × 224,786.45
  4. Step 4: Simplify right side
    406,078.36x = 125,966,134,312.71
  5. Step 5: Solve for x
    x = 125,966,134,312.71/406,078.36
  6. Step 6: Final answer
    x = 310,201.54

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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.