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Finding the Fourth Proportional to 585,042.56, 877,596.66 and 164,285.63

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Solution

The fourth proportional to 585,042.56, 877,596.66 and 164,285.63 is: 246,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,042.56 : 877,596.66 = 164,285.63 : x
  2. Step 2: Convert to fraction form
    585,042.56/877,596.66 = 164,285.63/x
  3. Step 3: Cross multiply
    585,042.56x = 877,596.66 × 164,285.63
  4. Step 4: Simplify right side
    585,042.56x = 144,176,520,174.00
  5. Step 5: Solve for x
    x = 144,176,520,174.00/585,042.56
  6. Step 6: Final answer
    x = 246,437.66

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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.