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Finding the Fourth Proportional to 585,666.50, 808,220.32 and 317,394.50

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Solution

The fourth proportional to 585,666.50, 808,220.32 and 317,394.50 is: 438,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,666.50 : 808,220.32 = 317,394.50 : x
  2. Step 2: Convert to fraction form
    585,666.50/808,220.32 = 317,394.50/x
  3. Step 3: Cross multiply
    585,666.50x = 808,220.32 × 317,394.50
  4. Step 4: Simplify right side
    585,666.50x = 256,524,684,356.24
  5. Step 5: Solve for x
    x = 256,524,684,356.24/585,666.50
  6. Step 6: Final answer
    x = 438,004.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.