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Finding the Fourth Proportional to 524,612.60, 788,474.10 and 456,183.80

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Solution

The fourth proportional to 524,612.60, 788,474.10 and 456,183.80 is: 685,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,612.60 : 788,474.10 = 456,183.80 : x
  2. Step 2: Convert to fraction form
    524,612.60/788,474.10 = 456,183.80/x
  3. Step 3: Cross multiply
    524,612.60x = 788,474.10 × 456,183.80
  4. Step 4: Simplify right side
    524,612.60x = 359,689,111,139.58
  5. Step 5: Solve for x
    x = 359,689,111,139.58/524,612.60
  6. Step 6: Final answer
    x = 685,628.04

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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.