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Finding the Fourth Proportional to 596,001.60, 822,482 and 327,729.60

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Solution

The fourth proportional to 596,001.60, 822,482 and 327,729.60 is: 452,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,001.60 : 822,482 = 327,729.60 : x
  2. Step 2: Convert to fraction form
    596,001.60/822,482 = 327,729.60/x
  3. Step 3: Cross multiply
    596,001.60x = 822,482 × 327,729.60
  4. Step 4: Simplify right side
    596,001.60x = 269,551,696,867.20
  5. Step 5: Solve for x
    x = 269,551,696,867.20/596,001.60
  6. Step 6: Final answer
    x = 452,266.73

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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.