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Finding the Fourth Proportional to 346,817, 478,646.34 and 195,923.72

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Solution

The fourth proportional to 346,817, 478,646.34 and 195,923.72 is: 270,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,817 : 478,646.34 = 195,923.72 : x
  2. Step 2: Convert to fraction form
    346,817/478,646.34 = 195,923.72/x
  3. Step 3: Cross multiply
    346,817x = 478,646.34 × 195,923.72
  4. Step 4: Simplify right side
    346,817x = 93,778,171,497.18
  5. Step 5: Solve for x
    x = 93,778,171,497.18/346,817
  6. Step 6: Final answer
    x = 270,396.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.