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Finding the Fourth Proportional to 473,904.52, 654,005.82 and 259,059.16

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Solution

The fourth proportional to 473,904.52, 654,005.82 and 259,059.16 is: 357,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,904.52 : 654,005.82 = 259,059.16 : x
  2. Step 2: Convert to fraction form
    473,904.52/654,005.82 = 259,059.16/x
  3. Step 3: Cross multiply
    473,904.52x = 654,005.82 × 259,059.16
  4. Step 4: Simplify right side
    473,904.52x = 169,426,198,364.31
  5. Step 5: Solve for x
    x = 169,426,198,364.31/473,904.52
  6. Step 6: Final answer
    x = 357,511.25

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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.