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Finding the Fourth Proportional to 397,925.84, 597,096.12 and 176,258

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Solution

The fourth proportional to 397,925.84, 597,096.12 and 176,258 is: 264,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,925.84 : 597,096.12 = 176,258 : x
  2. Step 2: Convert to fraction form
    397,925.84/597,096.12 = 176,258/x
  3. Step 3: Cross multiply
    397,925.84x = 597,096.12 × 176,258
  4. Step 4: Simplify right side
    397,925.84x = 105,242,967,918.96
  5. Step 5: Solve for x
    x = 105,242,967,918.96/397,925.84
  6. Step 6: Final answer
    x = 264,478.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.