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Finding the Fourth Proportional to 967,752, 1,335,497.76 and 543,816

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Solution

The fourth proportional to 967,752, 1,335,497.76 and 543,816 is: 750,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,752 : 1,335,497.76 = 543,816 : x
  2. Step 2: Convert to fraction form
    967,752/1,335,497.76 = 543,816/x
  3. Step 3: Cross multiply
    967,752x = 1,335,497.76 × 543,816
  4. Step 4: Simplify right side
    967,752x = 726,265,049,852.16
  5. Step 5: Solve for x
    x = 726,265,049,852.16/967,752
  6. Step 6: Final answer
    x = 750,466.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.