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Finding the Fourth Proportional to 532,824.68, 735,298.68 and 291,111.32

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Solution

The fourth proportional to 532,824.68, 735,298.68 and 291,111.32 is: 401,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,824.68 : 735,298.68 = 291,111.32 : x
  2. Step 2: Convert to fraction form
    532,824.68/735,298.68 = 291,111.32/x
  3. Step 3: Cross multiply
    532,824.68x = 735,298.68 × 291,111.32
  4. Step 4: Simplify right side
    532,824.68x = 214,053,769,329.06
  5. Step 5: Solve for x
    x = 214,053,769,329.06/532,824.68
  6. Step 6: Final answer
    x = 401,733.96

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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.