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Finding the Fourth Proportional to 612,850.32, 919,071.36 and 257,798.16

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Solution

The fourth proportional to 612,850.32, 919,071.36 and 257,798.16 is: 386,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,850.32 : 919,071.36 = 257,798.16 : x
  2. Step 2: Convert to fraction form
    612,850.32/919,071.36 = 257,798.16/x
  3. Step 3: Cross multiply
    612,850.32x = 919,071.36 × 257,798.16
  4. Step 4: Simplify right side
    612,850.32x = 236,934,905,516.70
  5. Step 5: Solve for x
    x = 236,934,905,516.70/612,850.32
  6. Step 6: Final answer
    x = 386,611.38

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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.