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Finding the Fourth Proportional to 585,056, 877,584 and 141,824

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Solution

The fourth proportional to 585,056, 877,584 and 141,824 is: 212,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,056 : 877,584 = 141,824 : x
  2. Step 2: Convert to fraction form
    585,056/877,584 = 141,824/x
  3. Step 3: Cross multiply
    585,056x = 877,584 × 141,824
  4. Step 4: Simplify right side
    585,056x = 124,462,473,216
  5. Step 5: Solve for x
    x = 124,462,473,216/585,056
  6. Step 6: Final answer
    x = 212,736

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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.