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Finding the Fourth Proportional to 564,343.84, 778,792.32 and 309,699.28

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Solution

The fourth proportional to 564,343.84, 778,792.32 and 309,699.28 is: 427,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,343.84 : 778,792.32 = 309,699.28 : x
  2. Step 2: Convert to fraction form
    564,343.84/778,792.32 = 309,699.28/x
  3. Step 3: Cross multiply
    564,343.84x = 778,792.32 × 309,699.28
  4. Step 4: Simplify right side
    564,343.84x = 241,191,420,773.53
  5. Step 5: Solve for x
    x = 241,191,420,773.53/564,343.84
  6. Step 6: Final answer
    x = 427,383.81

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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.