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Finding the Fourth Proportional to 298,507.31, 411,885.36 and 176,038.11

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Solution

The fourth proportional to 298,507.31, 411,885.36 and 176,038.11 is: 242,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,507.31 : 411,885.36 = 176,038.11 : x
  2. Step 2: Convert to fraction form
    298,507.31/411,885.36 = 176,038.11/x
  3. Step 3: Cross multiply
    298,507.31x = 411,885.36 × 176,038.11
  4. Step 4: Simplify right side
    298,507.31x = 72,507,519,650.93
  5. Step 5: Solve for x
    x = 72,507,519,650.93/298,507.31
  6. Step 6: Final answer
    x = 242,900.32

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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.