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Finding the Fourth Proportional to 523,436.80, 734,470.40 and 523,436.80

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Solution

The fourth proportional to 523,436.80, 734,470.40 and 523,436.80 is: 734,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,436.80 : 734,470.40 = 523,436.80 : x
  2. Step 2: Convert to fraction form
    523,436.80/734,470.40 = 523,436.80/x
  3. Step 3: Cross multiply
    523,436.80x = 734,470.40 × 523,436.80
  4. Step 4: Simplify right side
    523,436.80x = 384,448,835,870.72
  5. Step 5: Solve for x
    x = 384,448,835,870.72/523,436.80
  6. Step 6: Final answer
    x = 734,470.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.