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Finding the Fourth Proportional to 405,714.60, 559,881.24 and 224,412.24

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Solution

The fourth proportional to 405,714.60, 559,881.24 and 224,412.24 is: 309,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,714.60 : 559,881.24 = 224,412.24 : x
  2. Step 2: Convert to fraction form
    405,714.60/559,881.24 = 224,412.24/x
  3. Step 3: Cross multiply
    405,714.60x = 559,881.24 × 224,412.24
  4. Step 4: Simplify right side
    405,714.60x = 125,644,203,202.38
  5. Step 5: Solve for x
    x = 125,644,203,202.38/405,714.60
  6. Step 6: Final answer
    x = 309,686.18

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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.