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Finding the Fourth Proportional to 255,970.20, 384,246.90 and 150,848.40

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Solution

The fourth proportional to 255,970.20, 384,246.90 and 150,848.40 is: 226,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,970.20 : 384,246.90 = 150,848.40 : x
  2. Step 2: Convert to fraction form
    255,970.20/384,246.90 = 150,848.40/x
  3. Step 3: Cross multiply
    255,970.20x = 384,246.90 × 150,848.40
  4. Step 4: Simplify right side
    255,970.20x = 57,963,030,069.96
  5. Step 5: Solve for x
    x = 57,963,030,069.96/255,970.20
  6. Step 6: Final answer
    x = 226,444.45

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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.