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Finding the Fourth Proportional to 597,714, 896,566.54 and 171,250.18

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Solution

The fourth proportional to 597,714, 896,566.54 and 171,250.18 is: 256,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,714 : 896,566.54 = 171,250.18 : x
  2. Step 2: Convert to fraction form
    597,714/896,566.54 = 171,250.18/x
  3. Step 3: Cross multiply
    597,714x = 896,566.54 × 171,250.18
  4. Step 4: Simplify right side
    597,714x = 153,537,181,356.98
  5. Step 5: Solve for x
    x = 153,537,181,356.98/597,714
  6. Step 6: Final answer
    x = 256,873.99

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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.