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Finding the Fourth Proportional to 585,106.96, 877,690.52 and 164,415.64

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Solution

The fourth proportional to 585,106.96, 877,690.52 and 164,415.64 is: 246,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,106.96 : 877,690.52 = 164,415.64 : x
  2. Step 2: Convert to fraction form
    585,106.96/877,690.52 = 164,415.64/x
  3. Step 3: Cross multiply
    585,106.96x = 877,690.52 × 164,415.64
  4. Step 4: Simplify right side
    585,106.96x = 144,306,048,567.73
  5. Step 5: Solve for x
    x = 144,306,048,567.73/585,106.96
  6. Step 6: Final answer
    x = 246,631.91

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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.