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Finding the Fourth Proportional to 716,546.40, 988,975.52 and 410,828.16

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Solution

The fourth proportional to 716,546.40, 988,975.52 and 410,828.16 is: 567,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,546.40 : 988,975.52 = 410,828.16 : x
  2. Step 2: Convert to fraction form
    716,546.40/988,975.52 = 410,828.16/x
  3. Step 3: Cross multiply
    716,546.40x = 988,975.52 × 410,828.16
  4. Step 4: Simplify right side
    716,546.40x = 406,298,993,166.64
  5. Step 5: Solve for x
    x = 406,298,993,166.64/716,546.40
  6. Step 6: Final answer
    x = 567,023.98

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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.