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Finding the Fourth Proportional to 410,703.21, 566,558.15 and 259,887.69

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Solution

The fourth proportional to 410,703.21, 566,558.15 and 259,887.69 is: 358,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,703.21 : 566,558.15 = 259,887.69 : x
  2. Step 2: Convert to fraction form
    410,703.21/566,558.15 = 259,887.69/x
  3. Step 3: Cross multiply
    410,703.21x = 566,558.15 × 259,887.69
  4. Step 4: Simplify right side
    410,703.21x = 147,241,487,554.74
  5. Step 5: Solve for x
    x = 147,241,487,554.74/410,703.21
  6. Step 6: Final answer
    x = 358,510.68

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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.