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Finding the Fourth Proportional to 585,042, 877,563 and 141,810

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Solution

The fourth proportional to 585,042, 877,563 and 141,810 is: 212,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,042 : 877,563 = 141,810 : x
  2. Step 2: Convert to fraction form
    585,042/877,563 = 141,810/x
  3. Step 3: Cross multiply
    585,042x = 877,563 × 141,810
  4. Step 4: Simplify right side
    585,042x = 124,447,209,030
  5. Step 5: Solve for x
    x = 124,447,209,030/585,042
  6. Step 6: Final answer
    x = 212,715

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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.