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Finding the Fourth Proportional to 320,855.51, 442,780.73 and 175,670.70

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Solution

The fourth proportional to 320,855.51, 442,780.73 and 175,670.70 is: 242,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,855.51 : 442,780.73 = 175,670.70 : x
  2. Step 2: Convert to fraction form
    320,855.51/442,780.73 = 175,670.70/x
  3. Step 3: Cross multiply
    320,855.51x = 442,780.73 × 175,670.70
  4. Step 4: Simplify right side
    320,855.51x = 77,783,602,384.38
  5. Step 5: Solve for x
    x = 77,783,602,384.38/320,855.51
  6. Step 6: Final answer
    x = 242,425.64

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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.