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Finding the Fourth Proportional to 585,214.39, 807,595.86 and 316,942.39

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Solution

The fourth proportional to 585,214.39, 807,595.86 and 316,942.39 is: 437,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,214.39 : 807,595.86 = 316,942.39 : x
  2. Step 2: Convert to fraction form
    585,214.39/807,595.86 = 316,942.39/x
  3. Step 3: Cross multiply
    585,214.39x = 807,595.86 × 316,942.39
  4. Step 4: Simplify right side
    585,214.39x = 255,961,362,022.51
  5. Step 5: Solve for x
    x = 255,961,362,022.51/585,214.39
  6. Step 6: Final answer
    x = 437,380.50

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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.