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Finding the Fourth Proportional to 585,304.32, 877,956.80 and 164,580.20

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Solution

The fourth proportional to 585,304.32, 877,956.80 and 164,580.20 is: 246,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,304.32 : 877,956.80 = 164,580.20 : x
  2. Step 2: Convert to fraction form
    585,304.32/877,956.80 = 164,580.20/x
  3. Step 3: Cross multiply
    585,304.32x = 877,956.80 × 164,580.20
  4. Step 4: Simplify right side
    585,304.32x = 144,494,305,735.36
  5. Step 5: Solve for x
    x = 144,494,305,735.36/585,304.32
  6. Step 6: Final answer
    x = 246,870.39

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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.