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Finding the Fourth Proportional to 523,946, 723,045.48 and 285,482

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Solution

The fourth proportional to 523,946, 723,045.48 and 285,482 is: 393,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,946 : 723,045.48 = 285,482 : x
  2. Step 2: Convert to fraction form
    523,946/723,045.48 = 285,482/x
  3. Step 3: Cross multiply
    523,946x = 723,045.48 × 285,482
  4. Step 4: Simplify right side
    523,946x = 206,416,469,721.36
  5. Step 5: Solve for x
    x = 206,416,469,721.36/523,946
  6. Step 6: Final answer
    x = 393,965.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.