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Finding the Fourth Proportional to 512,927.44, 708,037.41 and 459,117.52

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Solution

The fourth proportional to 512,927.44, 708,037.41 and 459,117.52 is: 633,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,927.44 : 708,037.41 = 459,117.52 : x
  2. Step 2: Convert to fraction form
    512,927.44/708,037.41 = 459,117.52/x
  3. Step 3: Cross multiply
    512,927.44x = 708,037.41 × 459,117.52
  4. Step 4: Simplify right side
    512,927.44x = 325,072,379,746.42
  5. Step 5: Solve for x
    x = 325,072,379,746.42/512,927.44
  6. Step 6: Final answer
    x = 633,759.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.