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Finding the Fourth Proportional to 473,987.82, 654,076.71 and 259,085.10

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Solution

The fourth proportional to 473,987.82, 654,076.71 and 259,085.10 is: 357,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,987.82 : 654,076.71 = 259,085.10 : x
  2. Step 2: Convert to fraction form
    473,987.82/654,076.71 = 259,085.10/x
  3. Step 3: Cross multiply
    473,987.82x = 654,076.71 × 259,085.10
  4. Step 4: Simplify right side
    473,987.82x = 169,461,529,818.02
  5. Step 5: Solve for x
    x = 169,461,529,818.02/473,987.82
  6. Step 6: Final answer
    x = 357,522.96

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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.