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Finding the Fourth Proportional to 405,593.66, 559,708.96 and 224,300.76

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Solution

The fourth proportional to 405,593.66, 559,708.96 and 224,300.76 is: 309,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,593.66 : 559,708.96 = 224,300.76 : x
  2. Step 2: Convert to fraction form
    405,593.66/559,708.96 = 224,300.76/x
  3. Step 3: Cross multiply
    405,593.66x = 559,708.96 × 224,300.76
  4. Step 4: Simplify right side
    405,593.66x = 125,543,145,106.81
  5. Step 5: Solve for x
    x = 125,543,145,106.81/405,593.66
  6. Step 6: Final answer
    x = 309,529.36

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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.