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Finding the Fourth Proportional to 512,792.42, 707,638.64 and 283,346.06

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Solution

The fourth proportional to 512,792.42, 707,638.64 and 283,346.06 is: 391,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,792.42 : 707,638.64 = 283,346.06 : x
  2. Step 2: Convert to fraction form
    512,792.42/707,638.64 = 283,346.06/x
  3. Step 3: Cross multiply
    512,792.42x = 707,638.64 × 283,346.06
  4. Step 4: Simplify right side
    512,792.42x = 200,506,615,592.84
  5. Step 5: Solve for x
    x = 200,506,615,592.84/512,792.42
  6. Step 6: Final answer
    x = 391,009.32

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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.