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Finding the Fourth Proportional to 346,457.50, 478,111.38 and 195,564.22

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Solution

The fourth proportional to 346,457.50, 478,111.38 and 195,564.22 is: 269,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,457.50 : 478,111.38 = 195,564.22 : x
  2. Step 2: Convert to fraction form
    346,457.50/478,111.38 = 195,564.22/x
  3. Step 3: Cross multiply
    346,457.50x = 478,111.38 × 195,564.22
  4. Step 4: Simplify right side
    346,457.50x = 93,501,479,102.82
  5. Step 5: Solve for x
    x = 93,501,479,102.82/346,457.50
  6. Step 6: Final answer
    x = 269,878.64

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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.