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Finding the Fourth Proportional to 585,652, 808,199.80 and 317,380

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Solution

The fourth proportional to 585,652, 808,199.80 and 317,380 is: 437,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,652 : 808,199.80 = 317,380 : x
  2. Step 2: Convert to fraction form
    585,652/808,199.80 = 317,380/x
  3. Step 3: Cross multiply
    585,652x = 808,199.80 × 317,380
  4. Step 4: Simplify right side
    585,652x = 256,506,452,524
  5. Step 5: Solve for x
    x = 256,506,452,524/585,652
  6. Step 6: Final answer
    x = 437,984.42

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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.