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Finding the Fourth Proportional to 536,970.30, 804,533.85 and 255,882.30

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Solution

The fourth proportional to 536,970.30, 804,533.85 and 255,882.30 is: 383,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,970.30 : 804,533.85 = 255,882.30 : x
  2. Step 2: Convert to fraction form
    536,970.30/804,533.85 = 255,882.30/x
  3. Step 3: Cross multiply
    536,970.30x = 804,533.85 × 255,882.30
  4. Step 4: Simplify right side
    536,970.30x = 205,865,971,965.86
  5. Step 5: Solve for x
    x = 205,865,971,965.86/536,970.30
  6. Step 6: Final answer
    x = 383,384.28

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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.