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Finding the Fourth Proportional to 397,926.84, 597,097.62 and 176,259

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Solution

The fourth proportional to 397,926.84, 597,097.62 and 176,259 is: 264,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,926.84 : 597,097.62 = 176,259 : x
  2. Step 2: Convert to fraction form
    397,926.84/597,097.62 = 176,259/x
  3. Step 3: Cross multiply
    397,926.84x = 597,097.62 × 176,259
  4. Step 4: Simplify right side
    397,926.84x = 105,243,829,403.58
  5. Step 5: Solve for x
    x = 105,243,829,403.58/397,926.84
  6. Step 6: Final answer
    x = 264,480.35

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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.