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Finding the Fourth Proportional to 585,600, 808,128 and 317,328

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Solution

The fourth proportional to 585,600, 808,128 and 317,328 is: 437,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,600 : 808,128 = 317,328 : x
  2. Step 2: Convert to fraction form
    585,600/808,128 = 317,328/x
  3. Step 3: Cross multiply
    585,600x = 808,128 × 317,328
  4. Step 4: Simplify right side
    585,600x = 256,441,641,984
  5. Step 5: Solve for x
    x = 256,441,641,984/585,600
  6. Step 6: Final answer
    x = 437,912.64

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