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Finding the Fourth Proportional to 585,628, 808,166.64 and 317,356

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Solution

The fourth proportional to 585,628, 808,166.64 and 317,356 is: 437,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,628 : 808,166.64 = 317,356 : x
  2. Step 2: Convert to fraction form
    585,628/808,166.64 = 317,356/x
  3. Step 3: Cross multiply
    585,628x = 808,166.64 × 317,356
  4. Step 4: Simplify right side
    585,628x = 256,476,532,203.84
  5. Step 5: Solve for x
    x = 256,476,532,203.84/585,628
  6. Step 6: Final answer
    x = 437,951.28

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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.