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Finding the Fourth Proportional to 464,842.80, 697,264.20 and 323,125.20

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Solution

The fourth proportional to 464,842.80, 697,264.20 and 323,125.20 is: 484,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,842.80 : 697,264.20 = 323,125.20 : x
  2. Step 2: Convert to fraction form
    464,842.80/697,264.20 = 323,125.20/x
  3. Step 3: Cross multiply
    464,842.80x = 697,264.20 × 323,125.20
  4. Step 4: Simplify right side
    464,842.80x = 225,303,634,077.84
  5. Step 5: Solve for x
    x = 225,303,634,077.84/464,842.80
  6. Step 6: Final answer
    x = 484,687.80

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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.