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Finding the Fourth Proportional to 586,706, 809,656.44 and 318,434

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Solution

The fourth proportional to 586,706, 809,656.44 and 318,434 is: 439,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,706 : 809,656.44 = 318,434 : x
  2. Step 2: Convert to fraction form
    586,706/809,656.44 = 318,434/x
  3. Step 3: Cross multiply
    586,706x = 809,656.44 × 318,434
  4. Step 4: Simplify right side
    586,706x = 257,822,138,814.96
  5. Step 5: Solve for x
    x = 257,822,138,814.96/586,706
  6. Step 6: Final answer
    x = 439,440.09

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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.