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Finding the Fourth Proportional to 585,242.50, 877,863.74 and 164,518.36

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Solution

The fourth proportional to 585,242.50, 877,863.74 and 164,518.36 is: 246,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,242.50 : 877,863.74 = 164,518.36 : x
  2. Step 2: Convert to fraction form
    585,242.50/877,863.74 = 164,518.36/x
  3. Step 3: Cross multiply
    585,242.50x = 877,863.74 × 164,518.36
  4. Step 4: Simplify right side
    585,242.50x = 144,424,702,808.27
  5. Step 5: Solve for x
    x = 144,424,702,808.27/585,242.50
  6. Step 6: Final answer
    x = 246,777.54

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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.