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Finding the Fourth Proportional to 585,021, 877,531.50 and 141,789

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Solution

The fourth proportional to 585,021, 877,531.50 and 141,789 is: 212,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,021 : 877,531.50 = 141,789 : x
  2. Step 2: Convert to fraction form
    585,021/877,531.50 = 141,789/x
  3. Step 3: Cross multiply
    585,021x = 877,531.50 × 141,789
  4. Step 4: Simplify right side
    585,021x = 124,424,313,853.50
  5. Step 5: Solve for x
    x = 124,424,313,853.50/585,021
  6. Step 6: Final answer
    x = 212,683.50

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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.