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Finding the Fourth Proportional to 585,057, 877,585.50 and 141,825

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Solution

The fourth proportional to 585,057, 877,585.50 and 141,825 is: 212,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,057 : 877,585.50 = 141,825 : x
  2. Step 2: Convert to fraction form
    585,057/877,585.50 = 141,825/x
  3. Step 3: Cross multiply
    585,057x = 877,585.50 × 141,825
  4. Step 4: Simplify right side
    585,057x = 124,463,563,537.50
  5. Step 5: Solve for x
    x = 124,463,563,537.50/585,057
  6. Step 6: Final answer
    x = 212,737.50

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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.