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Finding the Fourth Proportional to 309,709.80, 464,564.70 and 262,470.60

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Solution

The fourth proportional to 309,709.80, 464,564.70 and 262,470.60 is: 393,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,709.80 : 464,564.70 = 262,470.60 : x
  2. Step 2: Convert to fraction form
    309,709.80/464,564.70 = 262,470.60/x
  3. Step 3: Cross multiply
    309,709.80x = 464,564.70 × 262,470.60
  4. Step 4: Simplify right side
    309,709.80x = 121,934,575,547.82
  5. Step 5: Solve for x
    x = 121,934,575,547.82/309,709.80
  6. Step 6: Final answer
    x = 393,705.90

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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.