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Finding the Fourth Proportional to 464,503.14, 697,399.88 and 240,029.46

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Solution

The fourth proportional to 464,503.14, 697,399.88 and 240,029.46 is: 360,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,503.14 : 697,399.88 = 240,029.46 : x
  2. Step 2: Convert to fraction form
    464,503.14/697,399.88 = 240,029.46/x
  3. Step 3: Cross multiply
    464,503.14x = 697,399.88 × 240,029.46
  4. Step 4: Simplify right side
    464,503.14x = 167,396,515,400.32
  5. Step 5: Solve for x
    x = 167,396,515,400.32/464,503.14
  6. Step 6: Final answer
    x = 360,377.58

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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.