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Finding the Fourth Proportional to 260,341.64, 359,274.06 and 152,946.20

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Solution

The fourth proportional to 260,341.64, 359,274.06 and 152,946.20 is: 211,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,341.64 : 359,274.06 = 152,946.20 : x
  2. Step 2: Convert to fraction form
    260,341.64/359,274.06 = 152,946.20/x
  3. Step 3: Cross multiply
    260,341.64x = 359,274.06 × 152,946.20
  4. Step 4: Simplify right side
    260,341.64x = 54,949,602,235.57
  5. Step 5: Solve for x
    x = 54,949,602,235.57/260,341.64
  6. Step 6: Final answer
    x = 211,067.28

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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.