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Finding the Fourth Proportional to 396,123.40, 592,802.70 and 362,945.80

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Solution

The fourth proportional to 396,123.40, 592,802.70 and 362,945.80 is: 543,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,123.40 : 592,802.70 = 362,945.80 : x
  2. Step 2: Convert to fraction form
    396,123.40/592,802.70 = 362,945.80/x
  3. Step 3: Cross multiply
    396,123.40x = 592,802.70 × 362,945.80
  4. Step 4: Simplify right side
    396,123.40x = 215,155,250,193.66
  5. Step 5: Solve for x
    x = 215,155,250,193.66/396,123.40
  6. Step 6: Final answer
    x = 543,152.08

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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.