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Finding the Fourth Proportional to 588,546, 812,280.96 and 346,751.28

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Solution

The fourth proportional to 588,546, 812,280.96 and 346,751.28 is: 478,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,546 : 812,280.96 = 346,751.28 : x
  2. Step 2: Convert to fraction form
    588,546/812,280.96 = 346,751.28/x
  3. Step 3: Cross multiply
    588,546x = 812,280.96 × 346,751.28
  4. Step 4: Simplify right side
    588,546x = 281,659,462,599.63
  5. Step 5: Solve for x
    x = 281,659,462,599.63/588,546
  6. Step 6: Final answer
    x = 478,568.31

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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.