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Finding the Fourth Proportional to 595,284.80, 821,508.31 and 323,368.25

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Solution

The fourth proportional to 595,284.80, 821,508.31 and 323,368.25 is: 446,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,284.80 : 821,508.31 = 323,368.25 : x
  2. Step 2: Convert to fraction form
    595,284.80/821,508.31 = 323,368.25/x
  3. Step 3: Cross multiply
    595,284.80x = 821,508.31 × 323,368.25
  4. Step 4: Simplify right side
    595,284.80x = 265,649,704,565.16
  5. Step 5: Solve for x
    x = 265,649,704,565.16/595,284.80
  6. Step 6: Final answer
    x = 446,256.49

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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.