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Finding the Fourth Proportional to 405,503.58, 559,570.90 and 224,201.28

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Solution

The fourth proportional to 405,503.58, 559,570.90 and 224,201.28 is: 309,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,503.58 : 559,570.90 = 224,201.28 : x
  2. Step 2: Convert to fraction form
    405,503.58/559,570.90 = 224,201.28/x
  3. Step 3: Cross multiply
    405,503.58x = 559,570.90 × 224,201.28
  4. Step 4: Simplify right side
    405,503.58x = 125,456,512,030.75
  5. Step 5: Solve for x
    x = 125,456,512,030.75/405,503.58
  6. Step 6: Final answer
    x = 309,384.47

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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.