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Finding the Fourth Proportional to 405,509.70, 559,580.82 and 224,210.75

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Solution

The fourth proportional to 405,509.70, 559,580.82 and 224,210.75 is: 309,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,509.70 : 559,580.82 = 224,210.75 : x
  2. Step 2: Convert to fraction form
    405,509.70/559,580.82 = 224,210.75/x
  3. Step 3: Cross multiply
    405,509.70x = 559,580.82 × 224,210.75
  4. Step 4: Simplify right side
    405,509.70x = 125,464,035,895.98
  5. Step 5: Solve for x
    x = 125,464,035,895.98/405,509.70
  6. Step 6: Final answer
    x = 309,398.36

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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.