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Finding the Fourth Proportional to 346,457, 478,110.69 and 195,563.72

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Solution

The fourth proportional to 346,457, 478,110.69 and 195,563.72 is: 269,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,457 : 478,110.69 = 195,563.72 : x
  2. Step 2: Convert to fraction form
    346,457/478,110.69 = 195,563.72/x
  3. Step 3: Cross multiply
    346,457x = 478,110.69 × 195,563.72
  4. Step 4: Simplify right side
    346,457x = 93,501,105,108.17
  5. Step 5: Solve for x
    x = 93,501,105,108.17/346,457
  6. Step 6: Final answer
    x = 269,877.95

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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.