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Finding the Fourth Proportional to 553,608.30, 829,246.05 and 460,296.30

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Solution

The fourth proportional to 553,608.30, 829,246.05 and 460,296.30 is: 689,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,608.30 : 829,246.05 = 460,296.30 : x
  2. Step 2: Convert to fraction form
    553,608.30/829,246.05 = 460,296.30/x
  3. Step 3: Cross multiply
    553,608.30x = 829,246.05 × 460,296.30
  4. Step 4: Simplify right side
    553,608.30x = 381,698,888,604.62
  5. Step 5: Solve for x
    x = 381,698,888,604.62/553,608.30
  6. Step 6: Final answer
    x = 689,474.65

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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.