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Finding the Fourth Proportional to 380,457.96, 525,011.05 and 208,342.51

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Solution

The fourth proportional to 380,457.96, 525,011.05 and 208,342.51 is: 287,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,457.96 : 525,011.05 = 208,342.51 : x
  2. Step 2: Convert to fraction form
    380,457.96/525,011.05 = 208,342.51/x
  3. Step 3: Cross multiply
    380,457.96x = 525,011.05 × 208,342.51
  4. Step 4: Simplify right side
    380,457.96x = 109,382,121,835.82
  5. Step 5: Solve for x
    x = 109,382,121,835.82/380,457.96
  6. Step 6: Final answer
    x = 287,501.20

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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.