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Finding the Fourth Proportional to 585,567, 808,083 and 317,295

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Solution

The fourth proportional to 585,567, 808,083 and 317,295 is: 437,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,567 : 808,083 = 317,295 : x
  2. Step 2: Convert to fraction form
    585,567/808,083 = 317,295/x
  3. Step 3: Cross multiply
    585,567x = 808,083 × 317,295
  4. Step 4: Simplify right side
    585,567x = 256,400,695,485
  5. Step 5: Solve for x
    x = 256,400,695,485/585,567
  6. Step 6: Final answer
    x = 437,867.39

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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.