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Finding the Fourth Proportional to 595,283.54, 821,506.58 and 323,367

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Solution

The fourth proportional to 595,283.54, 821,506.58 and 323,367 is: 446,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,283.54 : 821,506.58 = 323,367 : x
  2. Step 2: Convert to fraction form
    595,283.54/821,506.58 = 323,367/x
  3. Step 3: Cross multiply
    595,283.54x = 821,506.58 × 323,367
  4. Step 4: Simplify right side
    595,283.54x = 265,648,119,063.28
  5. Step 5: Solve for x
    x = 265,648,119,063.28/595,283.54
  6. Step 6: Final answer
    x = 446,254.77

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1.5x scale

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.