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Finding the Fourth Proportional to 294,982, 407,075.16 and 160,846.32

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Solution

The fourth proportional to 294,982, 407,075.16 and 160,846.32 is: 221,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,982 : 407,075.16 = 160,846.32 : x
  2. Step 2: Convert to fraction form
    294,982/407,075.16 = 160,846.32/x
  3. Step 3: Cross multiply
    294,982x = 407,075.16 × 160,846.32
  4. Step 4: Simplify right side
    294,982x = 65,476,541,449.41
  5. Step 5: Solve for x
    x = 65,476,541,449.41/294,982
  6. Step 6: Final answer
    x = 221,967.92

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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.