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Finding the Fourth Proportional to 397,971.84, 597,165.12 and 176,304

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Solution

The fourth proportional to 397,971.84, 597,165.12 and 176,304 is: 264,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,971.84 : 597,165.12 = 176,304 : x
  2. Step 2: Convert to fraction form
    397,971.84/597,165.12 = 176,304/x
  3. Step 3: Cross multiply
    397,971.84x = 597,165.12 × 176,304
  4. Step 4: Simplify right side
    397,971.84x = 105,282,599,316.48
  5. Step 5: Solve for x
    x = 105,282,599,316.48/397,971.84
  6. Step 6: Final answer
    x = 264,547.86

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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.