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Finding the Fourth Proportional to 585,076, 877,614 and 141,844

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Solution

The fourth proportional to 585,076, 877,614 and 141,844 is: 212,766

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,076 : 877,614 = 141,844 : x
  2. Step 2: Convert to fraction form
    585,076/877,614 = 141,844/x
  3. Step 3: Cross multiply
    585,076x = 877,614 × 141,844
  4. Step 4: Simplify right side
    585,076x = 124,484,280,216
  5. Step 5: Solve for x
    x = 124,484,280,216/585,076
  6. Step 6: Final answer
    x = 212,766

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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.