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Finding the Fourth Proportional to 772,523.16, 1,066,063.50 and 428,357.40

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Solution

The fourth proportional to 772,523.16, 1,066,063.50 and 428,357.40 is: 591,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,523.16 : 1,066,063.50 = 428,357.40 : x
  2. Step 2: Convert to fraction form
    772,523.16/1,066,063.50 = 428,357.40/x
  3. Step 3: Cross multiply
    772,523.16x = 1,066,063.50 × 428,357.40
  4. Step 4: Simplify right side
    772,523.16x = 456,656,189,094.90
  5. Step 5: Solve for x
    x = 456,656,189,094.90/772,523.16
  6. Step 6: Final answer
    x = 591,122.98

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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.