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Finding the Fourth Proportional to 473,735.58, 653,727.56 and 258,877.41

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Solution

The fourth proportional to 473,735.58, 653,727.56 and 258,877.41 is: 357,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,735.58 : 653,727.56 = 258,877.41 : x
  2. Step 2: Convert to fraction form
    473,735.58/653,727.56 = 258,877.41/x
  3. Step 3: Cross multiply
    473,735.58x = 653,727.56 × 258,877.41
  4. Step 4: Simplify right side
    473,735.58x = 169,235,296,284.03
  5. Step 5: Solve for x
    x = 169,235,296,284.03/473,735.58
  6. Step 6: Final answer
    x = 357,235.77

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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.