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Finding the Fourth Proportional to 280,014.60, 419,973.30 and 102,430.20

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Solution

The fourth proportional to 280,014.60, 419,973.30 and 102,430.20 is: 153,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,014.60 : 419,973.30 = 102,430.20 : x
  2. Step 2: Convert to fraction form
    280,014.60/419,973.30 = 102,430.20/x
  3. Step 3: Cross multiply
    280,014.60x = 419,973.30 × 102,430.20
  4. Step 4: Simplify right side
    280,014.60x = 43,017,949,113.66
  5. Step 5: Solve for x
    x = 43,017,949,113.66/280,014.60
  6. Step 6: Final answer
    x = 153,627.52

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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.