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Finding the Fourth Proportional to 786,210.56, 1,085,000.64 and 428,514.56

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Solution

The fourth proportional to 786,210.56, 1,085,000.64 and 428,514.56 is: 591,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,210.56 : 1,085,000.64 = 428,514.56 : x
  2. Step 2: Convert to fraction form
    786,210.56/1,085,000.64 = 428,514.56/x
  3. Step 3: Cross multiply
    786,210.56x = 1,085,000.64 × 428,514.56
  4. Step 4: Simplify right side
    786,210.56x = 464,938,571,849.32
  5. Step 5: Solve for x
    x = 464,938,571,849.32/786,210.56
  6. Step 6: Final answer
    x = 591,366.48

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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.