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Finding the Fourth Proportional to 405,503.18, 559,570.34 and 224,200.88

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Solution

The fourth proportional to 405,503.18, 559,570.34 and 224,200.88 is: 309,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,503.18 : 559,570.34 = 224,200.88 : x
  2. Step 2: Convert to fraction form
    405,503.18/559,570.34 = 224,200.88/x
  3. Step 3: Cross multiply
    405,503.18x = 559,570.34 × 224,200.88
  4. Step 4: Simplify right side
    405,503.18x = 125,456,159,291.55
  5. Step 5: Solve for x
    x = 125,456,159,291.55/405,503.18
  6. Step 6: Final answer
    x = 309,383.91

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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.