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Finding the Fourth Proportional to 464,866.41, 697,223.07 and 434,605.62

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Solution

The fourth proportional to 464,866.41, 697,223.07 and 434,605.62 is: 651,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,866.41 : 697,223.07 = 434,605.62 : x
  2. Step 2: Convert to fraction form
    464,866.41/697,223.07 = 434,605.62/x
  3. Step 3: Cross multiply
    464,866.41x = 697,223.07 × 434,605.62
  4. Step 4: Simplify right side
    464,866.41x = 303,017,064,615.65
  5. Step 5: Solve for x
    x = 303,017,064,615.65/464,866.41
  6. Step 6: Final answer
    x = 651,836.87

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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.