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Finding the Fourth Proportional to 542,038.44, 812,623.50 and 257,586.24

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Solution

The fourth proportional to 542,038.44, 812,623.50 and 257,586.24 is: 386,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,038.44 : 812,623.50 = 257,586.24 : x
  2. Step 2: Convert to fraction form
    542,038.44/812,623.50 = 257,586.24/x
  3. Step 3: Cross multiply
    542,038.44x = 812,623.50 × 257,586.24
  4. Step 4: Simplify right side
    542,038.44x = 209,320,631,900.64
  5. Step 5: Solve for x
    x = 209,320,631,900.64/542,038.44
  6. Step 6: Final answer
    x = 386,173.04

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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.