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Finding the Fourth Proportional to 585,096.95, 877,675.50 and 164,405.63

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Solution

The fourth proportional to 585,096.95, 877,675.50 and 164,405.63 is: 246,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,096.95 : 877,675.50 = 164,405.63 : x
  2. Step 2: Convert to fraction form
    585,096.95/877,675.50 = 164,405.63/x
  3. Step 3: Cross multiply
    585,096.95x = 877,675.50 × 164,405.63
  4. Step 4: Simplify right side
    585,096.95x = 144,294,795,707.25
  5. Step 5: Solve for x
    x = 144,294,795,707.25/585,096.95
  6. Step 6: Final answer
    x = 246,616.90

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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.