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Finding the Fourth Proportional to 593,135.13, 889,727.30 and 172,411

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Solution

The fourth proportional to 593,135.13, 889,727.30 and 172,411 is: 258,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,135.13 : 889,727.30 = 172,411 : x
  2. Step 2: Convert to fraction form
    593,135.13/889,727.30 = 172,411/x
  3. Step 3: Cross multiply
    593,135.13x = 889,727.30 × 172,411
  4. Step 4: Simplify right side
    593,135.13x = 153,398,773,520.30
  5. Step 5: Solve for x
    x = 153,398,773,520.30/593,135.13
  6. Step 6: Final answer
    x = 258,623.65

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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.