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Finding the Fourth Proportional to 319,307, 478,960.50 and 129,870.44

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Solution

The fourth proportional to 319,307, 478,960.50 and 129,870.44 is: 194,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,307 : 478,960.50 = 129,870.44 : x
  2. Step 2: Convert to fraction form
    319,307/478,960.50 = 129,870.44/x
  3. Step 3: Cross multiply
    319,307x = 478,960.50 × 129,870.44
  4. Step 4: Simplify right side
    319,307x = 62,202,808,482.82
  5. Step 5: Solve for x
    x = 62,202,808,482.82/319,307
  6. Step 6: Final answer
    x = 194,805.65

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