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Finding the Fourth Proportional to 292,493.92, 437,803.44 and 157,368.64

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Solution

The fourth proportional to 292,493.92, 437,803.44 and 157,368.64 is: 235,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,493.92 : 437,803.44 = 157,368.64 : x
  2. Step 2: Convert to fraction form
    292,493.92/437,803.44 = 157,368.64/x
  3. Step 3: Cross multiply
    292,493.92x = 437,803.44 × 157,368.64
  4. Step 4: Simplify right side
    292,493.92x = 68,896,531,940.12
  5. Step 5: Solve for x
    x = 68,896,531,940.12/292,493.92
  6. Step 6: Final answer
    x = 235,548.60

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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.