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Finding the Fourth Proportional to 465,848.64, 642,867.84 and 264,644.64

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Solution

The fourth proportional to 465,848.64, 642,867.84 and 264,644.64 is: 365,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,848.64 : 642,867.84 = 264,644.64 : x
  2. Step 2: Convert to fraction form
    465,848.64/642,867.84 = 264,644.64/x
  3. Step 3: Cross multiply
    465,848.64x = 642,867.84 × 264,644.64
  4. Step 4: Simplify right side
    465,848.64x = 170,131,528,084.38
  5. Step 5: Solve for x
    x = 170,131,528,084.38/465,848.64
  6. Step 6: Final answer
    x = 365,207.74

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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.