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Finding the Fourth Proportional to 484,643.96, 669,368.58 and 323,218.46

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Solution

The fourth proportional to 484,643.96, 669,368.58 and 323,218.46 is: 446,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,643.96 : 669,368.58 = 323,218.46 : x
  2. Step 2: Convert to fraction form
    484,643.96/669,368.58 = 323,218.46/x
  3. Step 3: Cross multiply
    484,643.96x = 669,368.58 × 323,218.46
  4. Step 4: Simplify right side
    484,643.96x = 216,352,281,599.99
  5. Step 5: Solve for x
    x = 216,352,281,599.99/484,643.96
  6. Step 6: Final answer
    x = 446,414.89

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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.