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Finding the Fourth Proportional to 585,205, 807,582.90 and 316,933

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Solution

The fourth proportional to 585,205, 807,582.90 and 316,933 is: 437,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,205 : 807,582.90 = 316,933 : x
  2. Step 2: Convert to fraction form
    585,205/807,582.90 = 316,933/x
  3. Step 3: Cross multiply
    585,205x = 807,582.90 × 316,933
  4. Step 4: Simplify right side
    585,205x = 255,949,671,245.70
  5. Step 5: Solve for x
    x = 255,949,671,245.70/585,205
  6. Step 6: Final answer
    x = 437,367.54

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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.