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Finding the Fourth Proportional to 756,332, 1,043,738.16 and 416,800.25

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Solution

The fourth proportional to 756,332, 1,043,738.16 and 416,800.25 is: 575,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,332 : 1,043,738.16 = 416,800.25 : x
  2. Step 2: Convert to fraction form
    756,332/1,043,738.16 = 416,800.25/x
  3. Step 3: Cross multiply
    756,332x = 1,043,738.16 × 416,800.25
  4. Step 4: Simplify right side
    756,332x = 435,030,326,022.54
  5. Step 5: Solve for x
    x = 435,030,326,022.54/756,332
  6. Step 6: Final answer
    x = 575,184.35

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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.