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Finding the Fourth Proportional to 585,266.13, 877,969.53 and 206,108.49

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Solution

The fourth proportional to 585,266.13, 877,969.53 and 206,108.49 is: 309,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,266.13 : 877,969.53 = 206,108.49 : x
  2. Step 2: Convert to fraction form
    585,266.13/877,969.53 = 206,108.49/x
  3. Step 3: Cross multiply
    585,266.13x = 877,969.53 × 206,108.49
  4. Step 4: Simplify right side
    585,266.13x = 180,956,974,094.31
  5. Step 5: Solve for x
    x = 180,956,974,094.31/585,266.13
  6. Step 6: Final answer
    x = 309,187.50

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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.