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Finding the Fourth Proportional to 524,291.92, 782,881.75 and 416,465.53

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Solution

The fourth proportional to 524,291.92, 782,881.75 and 416,465.53 is: 621,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,291.92 : 782,881.75 = 416,465.53 : x
  2. Step 2: Convert to fraction form
    524,291.92/782,881.75 = 416,465.53/x
  3. Step 3: Cross multiply
    524,291.92x = 782,881.75 × 416,465.53
  4. Step 4: Simplify right side
    524,291.92x = 326,043,262,941.08
  5. Step 5: Solve for x
    x = 326,043,262,941.08/524,291.92
  6. Step 6: Final answer
    x = 621,873.52

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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.