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Finding the Fourth Proportional to 473,941.64, 654,037.98 and 259,081.80

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Solution

The fourth proportional to 473,941.64, 654,037.98 and 259,081.80 is: 357,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,941.64 : 654,037.98 = 259,081.80 : x
  2. Step 2: Convert to fraction form
    473,941.64/654,037.98 = 259,081.80/x
  3. Step 3: Cross multiply
    473,941.64x = 654,037.98 × 259,081.80
  4. Step 4: Simplify right side
    473,941.64x = 169,449,337,126.76
  5. Step 5: Solve for x
    x = 169,449,337,126.76/473,941.64
  6. Step 6: Final answer
    x = 357,532.07

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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.