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Finding the Fourth Proportional to 772,776, 1,066,068 and 546,546.24

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Solution

The fourth proportional to 772,776, 1,066,068 and 546,546.24 is: 753,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,776 : 1,066,068 = 546,546.24 : x
  2. Step 2: Convert to fraction form
    772,776/1,066,068 = 546,546.24/x
  3. Step 3: Cross multiply
    772,776x = 1,066,068 × 546,546.24
  4. Step 4: Simplify right side
    772,776x = 582,655,456,984.32
  5. Step 5: Solve for x
    x = 582,655,456,984.32/772,776
  6. Step 6: Final answer
    x = 753,977.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.