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Finding the Fourth Proportional to 405,514.64, 559,587.54 and 224,215.64

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Solution

The fourth proportional to 405,514.64, 559,587.54 and 224,215.64 is: 309,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,514.64 : 559,587.54 = 224,215.64 : x
  2. Step 2: Convert to fraction form
    405,514.64/559,587.54 = 224,215.64/x
  3. Step 3: Cross multiply
    405,514.64x = 559,587.54 × 224,215.64
  4. Step 4: Simplify right side
    405,514.64x = 125,468,278,417.13
  5. Step 5: Solve for x
    x = 125,468,278,417.13/405,514.64
  6. Step 6: Final answer
    x = 309,405.05

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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.