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Finding the Fourth Proportional to 262,506.47, 362,065.54 and 197,978.40

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Solution

The fourth proportional to 262,506.47, 362,065.54 and 197,978.40 is: 273,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,506.47 : 362,065.54 = 197,978.40 : x
  2. Step 2: Convert to fraction form
    262,506.47/362,065.54 = 197,978.40/x
  3. Step 3: Cross multiply
    262,506.47x = 362,065.54 × 197,978.40
  4. Step 4: Simplify right side
    262,506.47x = 71,681,156,304.34
  5. Step 5: Solve for x
    x = 71,681,156,304.34/262,506.47
  6. Step 6: Final answer
    x = 273,064.34

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1.5x scale

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.