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Finding the Fourth Proportional to 495,496.80, 684,069.30 and 326,223

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Solution

The fourth proportional to 495,496.80, 684,069.30 and 326,223 is: 450,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,496.80 : 684,069.30 = 326,223 : x
  2. Step 2: Convert to fraction form
    495,496.80/684,069.30 = 326,223/x
  3. Step 3: Cross multiply
    495,496.80x = 684,069.30 × 326,223
  4. Step 4: Simplify right side
    495,496.80x = 223,159,139,253.90
  5. Step 5: Solve for x
    x = 223,159,139,253.90/495,496.80
  6. Step 6: Final answer
    x = 450,374.53

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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.