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Finding the Fourth Proportional to 417,714, 626,570.04 and 151,473.96

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Solution

The fourth proportional to 417,714, 626,570.04 and 151,473.96 is: 227,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,714 : 626,570.04 = 151,473.96 : x
  2. Step 2: Convert to fraction form
    417,714/626,570.04 = 151,473.96/x
  3. Step 3: Cross multiply
    417,714x = 626,570.04 × 151,473.96
  4. Step 4: Simplify right side
    417,714x = 94,909,045,176.16
  5. Step 5: Solve for x
    x = 94,909,045,176.16/417,714
  6. Step 6: Final answer
    x = 227,210.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.