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Finding the Fourth Proportional to 592,700, 889,128.12 and 193,200.80

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Solution

The fourth proportional to 592,700, 889,128.12 and 193,200.80 is: 289,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,700 : 889,128.12 = 193,200.80 : x
  2. Step 2: Convert to fraction form
    592,700/889,128.12 = 193,200.80/x
  3. Step 3: Cross multiply
    592,700x = 889,128.12 × 193,200.80
  4. Step 4: Simplify right side
    592,700x = 171,780,264,086.50
  5. Step 5: Solve for x
    x = 171,780,264,086.50/592,700
  6. Step 6: Final answer
    x = 289,826.66

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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.