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Finding the Fourth Proportional to 731,751.40, 1,009,665.52 and 502,224.40

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Solution

The fourth proportional to 731,751.40, 1,009,665.52 and 502,224.40 is: 692,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,751.40 : 1,009,665.52 = 502,224.40 : x
  2. Step 2: Convert to fraction form
    731,751.40/1,009,665.52 = 502,224.40/x
  3. Step 3: Cross multiply
    731,751.40x = 1,009,665.52 × 502,224.40
  4. Step 4: Simplify right side
    731,751.40x = 507,078,659,982.69
  5. Step 5: Solve for x
    x = 507,078,659,982.69/731,751.40
  6. Step 6: Final answer
    x = 692,965.75

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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.