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Finding the Fourth Proportional to 465,708.83, 697,170.83 and 285,225.93

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Solution

The fourth proportional to 465,708.83, 697,170.83 and 285,225.93 is: 426,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,708.83 : 697,170.83 = 285,225.93 : x
  2. Step 2: Convert to fraction form
    465,708.83/697,170.83 = 285,225.93/x
  3. Step 3: Cross multiply
    465,708.83x = 697,170.83 × 285,225.93
  4. Step 4: Simplify right side
    465,708.83x = 198,851,196,929.49
  5. Step 5: Solve for x
    x = 198,851,196,929.49/465,708.83
  6. Step 6: Final answer
    x = 426,986.10

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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.