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Finding the Fourth Proportional to 405,592.23, 559,714.01 and 224,311.80

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Solution

The fourth proportional to 405,592.23, 559,714.01 and 224,311.80 is: 309,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,592.23 : 559,714.01 = 224,311.80 : x
  2. Step 2: Convert to fraction form
    405,592.23/559,714.01 = 224,311.80/x
  3. Step 3: Cross multiply
    405,592.23x = 559,714.01 × 224,311.80
  4. Step 4: Simplify right side
    405,592.23x = 125,550,457,068.32
  5. Step 5: Solve for x
    x = 125,550,457,068.32/405,592.23
  6. Step 6: Final answer
    x = 309,548.48

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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.