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Finding the Fourth Proportional to 497,336, 746,009.28 and 398,126.96

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Solution

The fourth proportional to 497,336, 746,009.28 and 398,126.96 is: 597,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,336 : 746,009.28 = 398,126.96 : x
  2. Step 2: Convert to fraction form
    497,336/746,009.28 = 398,126.96/x
  3. Step 3: Cross multiply
    497,336x = 746,009.28 × 398,126.96
  4. Step 4: Simplify right side
    497,336x = 297,006,406,778.19
  5. Step 5: Solve for x
    x = 297,006,406,778.19/497,336
  6. Step 6: Final answer
    x = 597,194.67

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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.