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Finding the Fourth Proportional to 592,697, 889,123.62 and 193,197.80

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Solution

The fourth proportional to 592,697, 889,123.62 and 193,197.80 is: 289,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,697 : 889,123.62 = 193,197.80 : x
  2. Step 2: Convert to fraction form
    592,697/889,123.62 = 193,197.80/x
  3. Step 3: Cross multiply
    592,697x = 889,123.62 × 193,197.80
  4. Step 4: Simplify right side
    592,697x = 171,776,727,312.04
  5. Step 5: Solve for x
    x = 171,776,727,312.04/592,697
  6. Step 6: Final answer
    x = 289,822.16

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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.