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Finding the Fourth Proportional to 395,123.40, 592,670.70 and 158,401.80

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Solution

The fourth proportional to 395,123.40, 592,670.70 and 158,401.80 is: 237,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,123.40 : 592,670.70 = 158,401.80 : x
  2. Step 2: Convert to fraction form
    395,123.40/592,670.70 = 158,401.80/x
  3. Step 3: Cross multiply
    395,123.40x = 592,670.70 × 158,401.80
  4. Step 4: Simplify right side
    395,123.40x = 93,880,105,687.26
  5. Step 5: Solve for x
    x = 93,880,105,687.26/395,123.40
  6. Step 6: Final answer
    x = 237,596.93

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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.