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Finding the Fourth Proportional to 585,159.19, 877,738.78 and 164,435.06

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Solution

The fourth proportional to 585,159.19, 877,738.78 and 164,435.06 is: 246,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,159.19 : 877,738.78 = 164,435.06 : x
  2. Step 2: Convert to fraction form
    585,159.19/877,738.78 = 164,435.06/x
  3. Step 3: Cross multiply
    585,159.19x = 877,738.78 × 164,435.06
  4. Step 4: Simplify right side
    585,159.19x = 144,331,031,353.52
  5. Step 5: Solve for x
    x = 144,331,031,353.52/585,159.19
  6. Step 6: Final answer
    x = 246,652.59

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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.