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Finding the Fourth Proportional to 586,599.50, 809,507.32 and 318,327.50

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Solution

The fourth proportional to 586,599.50, 809,507.32 and 318,327.50 is: 439,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,599.50 : 809,507.32 = 318,327.50 : x
  2. Step 2: Convert to fraction form
    586,599.50/809,507.32 = 318,327.50/x
  3. Step 3: Cross multiply
    586,599.50x = 809,507.32 × 318,327.50
  4. Step 4: Simplify right side
    586,599.50x = 257,688,441,407.30
  5. Step 5: Solve for x
    x = 257,688,441,407.30/586,599.50
  6. Step 6: Final answer
    x = 439,291.96

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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.