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Finding the Fourth Proportional to 289,350.40, 405,920 and 289,350.40

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Solution

The fourth proportional to 289,350.40, 405,920 and 289,350.40 is: 405,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,350.40 : 405,920 = 289,350.40 : x
  2. Step 2: Convert to fraction form
    289,350.40/405,920 = 289,350.40/x
  3. Step 3: Cross multiply
    289,350.40x = 405,920 × 289,350.40
  4. Step 4: Simplify right side
    289,350.40x = 117,453,114,368.00
  5. Step 5: Solve for x
    x = 117,453,114,368.00/289,350.40
  6. Step 6: Final answer
    x = 405,920

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.