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Finding the Fourth Proportional to 461,812.04, 637,311.43 and 257,856.06

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Solution

The fourth proportional to 461,812.04, 637,311.43 and 257,856.06 is: 355,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,812.04 : 637,311.43 = 257,856.06 : x
  2. Step 2: Convert to fraction form
    461,812.04/637,311.43 = 257,856.06/x
  3. Step 3: Cross multiply
    461,812.04x = 637,311.43 × 257,856.06
  4. Step 4: Simplify right side
    461,812.04x = 164,334,614,332.77
  5. Step 5: Solve for x
    x = 164,334,614,332.77/461,812.04
  6. Step 6: Final answer
    x = 355,847.40

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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.