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Finding the Fourth Proportional to 405,877.92, 560,112.20 and 224,597.48

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Solution

The fourth proportional to 405,877.92, 560,112.20 and 224,597.48 is: 309,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,877.92 : 560,112.20 = 224,597.48 : x
  2. Step 2: Convert to fraction form
    405,877.92/560,112.20 = 224,597.48/x
  3. Step 3: Cross multiply
    405,877.92x = 560,112.20 × 224,597.48
  4. Step 4: Simplify right side
    405,877.92x = 125,799,788,637.26
  5. Step 5: Solve for x
    x = 125,799,788,637.26/405,877.92
  6. Step 6: Final answer
    x = 309,944.89

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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.