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Finding the Fourth Proportional to 585,240.36, 877,918.92 and 158,782.84

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Solution

The fourth proportional to 585,240.36, 877,918.92 and 158,782.84 is: 238,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,240.36 : 877,918.92 = 158,782.84 : x
  2. Step 2: Convert to fraction form
    585,240.36/877,918.92 = 158,782.84/x
  3. Step 3: Cross multiply
    585,240.36x = 877,918.92 × 158,782.84
  4. Step 4: Simplify right side
    585,240.36x = 139,398,459,407.33
  5. Step 5: Solve for x
    x = 139,398,459,407.33/585,240.36
  6. Step 6: Final answer
    x = 238,190.10

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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.