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Finding the Fourth Proportional to 640,255.95, 960,457.74 and 213,848.36

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Solution

The fourth proportional to 640,255.95, 960,457.74 and 213,848.36 is: 320,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,255.95 : 960,457.74 = 213,848.36 : x
  2. Step 2: Convert to fraction form
    640,255.95/960,457.74 = 213,848.36/x
  3. Step 3: Cross multiply
    640,255.95x = 960,457.74 × 213,848.36
  4. Step 4: Simplify right side
    640,255.95x = 205,392,312,548.31
  5. Step 5: Solve for x
    x = 205,392,312,548.31/640,255.95
  6. Step 6: Final answer
    x = 320,797.19

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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.