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Finding the Fourth Proportional to 586,588.23, 809,491.75 and 318,316.23

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Solution

The fourth proportional to 586,588.23, 809,491.75 and 318,316.23 is: 439,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,588.23 : 809,491.75 = 318,316.23 : x
  2. Step 2: Convert to fraction form
    586,588.23/809,491.75 = 318,316.23/x
  3. Step 3: Cross multiply
    586,588.23x = 809,491.75 × 318,316.23
  4. Step 4: Simplify right side
    586,588.23x = 257,674,361,280.31
  5. Step 5: Solve for x
    x = 257,674,361,280.31/586,588.23
  6. Step 6: Final answer
    x = 439,276.39

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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.