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Finding the Fourth Proportional to 689,415.84, 951,343.92 and 431,408.16

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Solution

The fourth proportional to 689,415.84, 951,343.92 and 431,408.16 is: 595,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,415.84 : 951,343.92 = 431,408.16 : x
  2. Step 2: Convert to fraction form
    689,415.84/951,343.92 = 431,408.16/x
  3. Step 3: Cross multiply
    689,415.84x = 951,343.92 × 431,408.16
  4. Step 4: Simplify right side
    689,415.84x = 410,417,530,054.39
  5. Step 5: Solve for x
    x = 410,417,530,054.39/689,415.84
  6. Step 6: Final answer
    x = 595,312.01

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1.5x scale

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.