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Finding the Fourth Proportional to 405,283.02, 559,284.93 and 224,014.74

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Solution

The fourth proportional to 405,283.02, 559,284.93 and 224,014.74 is: 309,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,283.02 : 559,284.93 = 224,014.74 : x
  2. Step 2: Convert to fraction form
    405,283.02/559,284.93 = 224,014.74/x
  3. Step 3: Cross multiply
    405,283.02x = 559,284.93 × 224,014.74
  4. Step 4: Simplify right side
    405,283.02x = 125,288,068,179.87
  5. Step 5: Solve for x
    x = 125,288,068,179.87/405,283.02
  6. Step 6: Final answer
    x = 309,137.23

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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.