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Finding the Fourth Proportional to 476,802.81, 657,994.86 and 259,015.56

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Solution

The fourth proportional to 476,802.81, 657,994.86 and 259,015.56 is: 357,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,802.81 : 657,994.86 = 259,015.56 : x
  2. Step 2: Convert to fraction form
    476,802.81/657,994.86 = 259,015.56/x
  3. Step 3: Cross multiply
    476,802.81x = 657,994.86 × 259,015.56
  4. Step 4: Simplify right side
    476,802.81x = 170,430,907,140.02
  5. Step 5: Solve for x
    x = 170,430,907,140.02/476,802.81
  6. Step 6: Final answer
    x = 357,445.27

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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.