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Finding the Fourth Proportional to 456,430.90, 683,662.20 and 456,430.90

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Solution

The fourth proportional to 456,430.90, 683,662.20 and 456,430.90 is: 683,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,430.90 : 683,662.20 = 456,430.90 : x
  2. Step 2: Convert to fraction form
    456,430.90/683,662.20 = 456,430.90/x
  3. Step 3: Cross multiply
    456,430.90x = 683,662.20 × 456,430.90
  4. Step 4: Simplify right side
    456,430.90x = 312,044,553,241.98
  5. Step 5: Solve for x
    x = 312,044,553,241.98/456,430.90
  6. Step 6: Final answer
    x = 683,662.20

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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.