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Finding the Fourth Proportional to 283,304.88, 390,962.16 and 162,450.72

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Solution

The fourth proportional to 283,304.88, 390,962.16 and 162,450.72 is: 224,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,304.88 : 390,962.16 = 162,450.72 : x
  2. Step 2: Convert to fraction form
    283,304.88/390,962.16 = 162,450.72/x
  3. Step 3: Cross multiply
    283,304.88x = 390,962.16 × 162,450.72
  4. Step 4: Simplify right side
    283,304.88x = 63,512,084,384.76
  5. Step 5: Solve for x
    x = 63,512,084,384.76/283,304.88
  6. Step 6: Final answer
    x = 224,182.81

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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.