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Finding the Fourth Proportional to 418,461.84, 577,477.76 and 227,475.24

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Solution

The fourth proportional to 418,461.84, 577,477.76 and 227,475.24 is: 313,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,461.84 : 577,477.76 = 227,475.24 : x
  2. Step 2: Convert to fraction form
    418,461.84/577,477.76 = 227,475.24/x
  3. Step 3: Cross multiply
    418,461.84x = 577,477.76 × 227,475.24
  4. Step 4: Simplify right side
    418,461.84x = 131,361,892,050.66
  5. Step 5: Solve for x
    x = 131,361,892,050.66/418,461.84
  6. Step 6: Final answer
    x = 313,916.06

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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.