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Finding the Fourth Proportional to 523,974.90, 786,512.04 and 464,384.64

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Solution

The fourth proportional to 523,974.90, 786,512.04 and 464,384.64 is: 697,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,974.90 : 786,512.04 = 464,384.64 : x
  2. Step 2: Convert to fraction form
    523,974.90/786,512.04 = 464,384.64/x
  3. Step 3: Cross multiply
    523,974.90x = 786,512.04 × 464,384.64
  4. Step 4: Simplify right side
    523,974.90x = 365,244,110,551.07
  5. Step 5: Solve for x
    x = 365,244,110,551.07/523,974.90
  6. Step 6: Final answer
    x = 697,064.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.