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Finding the Fourth Proportional to 509,426.40, 702,790.38 and 318,107.64

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Solution

The fourth proportional to 509,426.40, 702,790.38 and 318,107.64 is: 438,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,426.40 : 702,790.38 = 318,107.64 : x
  2. Step 2: Convert to fraction form
    509,426.40/702,790.38 = 318,107.64/x
  3. Step 3: Cross multiply
    509,426.40x = 702,790.38 × 318,107.64
  4. Step 4: Simplify right side
    509,426.40x = 223,562,989,196.50
  5. Step 5: Solve for x
    x = 223,562,989,196.50/509,426.40
  6. Step 6: Final answer
    x = 438,852.38

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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.