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Finding the Fourth Proportional to 464,806.40, 697,209.60 and 165,624.80

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Solution

The fourth proportional to 464,806.40, 697,209.60 and 165,624.80 is: 248,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,806.40 : 697,209.60 = 165,624.80 : x
  2. Step 2: Convert to fraction form
    464,806.40/697,209.60 = 165,624.80/x
  3. Step 3: Cross multiply
    464,806.40x = 697,209.60 × 165,624.80
  4. Step 4: Simplify right side
    464,806.40x = 115,475,200,558.08
  5. Step 5: Solve for x
    x = 115,475,200,558.08/464,806.40
  6. Step 6: Final answer
    x = 248,437.20

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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.