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Finding the Fourth Proportional to 473,898.98, 653,980.54 and 259,039.90

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Solution

The fourth proportional to 473,898.98, 653,980.54 and 259,039.90 is: 357,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,898.98 : 653,980.54 = 259,039.90 : x
  2. Step 2: Convert to fraction form
    473,898.98/653,980.54 = 259,039.90/x
  3. Step 3: Cross multiply
    473,898.98x = 653,980.54 × 259,039.90
  4. Step 4: Simplify right side
    473,898.98x = 169,407,049,118.44
  5. Step 5: Solve for x
    x = 169,407,049,118.44/473,898.98
  6. Step 6: Final answer
    x = 357,475.03

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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.