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Finding the Fourth Proportional to 405,503.46, 559,570.73 and 224,201.16

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Solution

The fourth proportional to 405,503.46, 559,570.73 and 224,201.16 is: 309,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,503.46 : 559,570.73 = 224,201.16 : x
  2. Step 2: Convert to fraction form
    405,503.46/559,570.73 = 224,201.16/x
  3. Step 3: Cross multiply
    405,503.46x = 559,570.73 × 224,201.16
  4. Step 4: Simplify right side
    405,503.46x = 125,456,406,768.05
  5. Step 5: Solve for x
    x = 125,456,406,768.05/405,503.46
  6. Step 6: Final answer
    x = 309,384.31

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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.