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Finding the Fourth Proportional to 595,368.42, 821,605.13 and 323,434.14

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Solution

The fourth proportional to 595,368.42, 821,605.13 and 323,434.14 is: 446,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,368.42 : 821,605.13 = 323,434.14 : x
  2. Step 2: Convert to fraction form
    595,368.42/821,605.13 = 323,434.14/x
  3. Step 3: Cross multiply
    595,368.42x = 821,605.13 × 323,434.14
  4. Step 4: Simplify right side
    595,368.42x = 265,735,147,023.97
  5. Step 5: Solve for x
    x = 265,735,147,023.97/595,368.42
  6. Step 6: Final answer
    x = 446,337.32

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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.