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Finding the Fourth Proportional to 464,517.60, 697,294.80 and 434,061.60

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Solution

The fourth proportional to 464,517.60, 697,294.80 and 434,061.60 is: 651,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,517.60 : 697,294.80 = 434,061.60 : x
  2. Step 2: Convert to fraction form
    464,517.60/697,294.80 = 434,061.60/x
  3. Step 3: Cross multiply
    464,517.60x = 697,294.80 × 434,061.60
  4. Step 4: Simplify right side
    464,517.60x = 302,668,896,559.68
  5. Step 5: Solve for x
    x = 302,668,896,559.68/464,517.60
  6. Step 6: Final answer
    x = 651,576.81

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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.