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Finding the Fourth Proportional to 513,734.67, 767,451.82 and 370,356.32

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Solution

The fourth proportional to 513,734.67, 767,451.82 and 370,356.32 is: 553,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,734.67 : 767,451.82 = 370,356.32 : x
  2. Step 2: Convert to fraction form
    513,734.67/767,451.82 = 370,356.32/x
  3. Step 3: Cross multiply
    513,734.67x = 767,451.82 × 370,356.32
  4. Step 4: Simplify right side
    513,734.67x = 284,230,627,069.35
  5. Step 5: Solve for x
    x = 284,230,627,069.35/513,734.67
  6. Step 6: Final answer
    x = 553,263.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.