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Finding the Fourth Proportional to 300,957.53, 415,312.40 and 164,986.83

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Solution

The fourth proportional to 300,957.53, 415,312.40 and 164,986.83 is: 227,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,957.53 : 415,312.40 = 164,986.83 : x
  2. Step 2: Convert to fraction form
    300,957.53/415,312.40 = 164,986.83/x
  3. Step 3: Cross multiply
    300,957.53x = 415,312.40 × 164,986.83
  4. Step 4: Simplify right side
    300,957.53x = 68,521,075,510.76
  5. Step 5: Solve for x
    x = 68,521,075,510.76/300,957.53
  6. Step 6: Final answer
    x = 227,676.89

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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.