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Finding the Fourth Proportional to 585,061, 877,591.50 and 141,829

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Solution

The fourth proportional to 585,061, 877,591.50 and 141,829 is: 212,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,061 : 877,591.50 = 141,829 : x
  2. Step 2: Convert to fraction form
    585,061/877,591.50 = 141,829/x
  3. Step 3: Cross multiply
    585,061x = 877,591.50 × 141,829
  4. Step 4: Simplify right side
    585,061x = 124,467,924,853.50
  5. Step 5: Solve for x
    x = 124,467,924,853.50/585,061
  6. Step 6: Final answer
    x = 212,743.50

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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.