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Finding the Fourth Proportional to 461,686.82, 637,111.22 and 289,697.40

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Solution

The fourth proportional to 461,686.82, 637,111.22 and 289,697.40 is: 399,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,686.82 : 637,111.22 = 289,697.40 : x
  2. Step 2: Convert to fraction form
    461,686.82/637,111.22 = 289,697.40/x
  3. Step 3: Cross multiply
    461,686.82x = 637,111.22 × 289,697.40
  4. Step 4: Simplify right side
    461,686.82x = 184,569,462,496.34
  5. Step 5: Solve for x
    x = 184,569,462,496.34/461,686.82
  6. Step 6: Final answer
    x = 399,772.00

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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.