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Finding the Fourth Proportional to 590,564.40, 885,846.60 and 413,271.60

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Solution

The fourth proportional to 590,564.40, 885,846.60 and 413,271.60 is: 619,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,564.40 : 885,846.60 = 413,271.60 : x
  2. Step 2: Convert to fraction form
    590,564.40/885,846.60 = 413,271.60/x
  3. Step 3: Cross multiply
    590,564.40x = 885,846.60 × 413,271.60
  4. Step 4: Simplify right side
    590,564.40x = 366,095,241,736.56
  5. Step 5: Solve for x
    x = 366,095,241,736.56/590,564.40
  6. Step 6: Final answer
    x = 619,907.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.