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Finding the Fourth Proportional to 547,970.40, 821,437.20 and 323,503.20

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Solution

The fourth proportional to 547,970.40, 821,437.20 and 323,503.20 is: 484,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,970.40 : 821,437.20 = 323,503.20 : x
  2. Step 2: Convert to fraction form
    547,970.40/821,437.20 = 323,503.20/x
  3. Step 3: Cross multiply
    547,970.40x = 821,437.20 × 323,503.20
  4. Step 4: Simplify right side
    547,970.40x = 265,737,562,799.04
  5. Step 5: Solve for x
    x = 265,737,562,799.04/547,970.40
  6. Step 6: Final answer
    x = 484,948.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.