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Finding the Fourth Proportional to 470,566, 649,381.08 and 258,598

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Solution

The fourth proportional to 470,566, 649,381.08 and 258,598 is: 356,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,566 : 649,381.08 = 258,598 : x
  2. Step 2: Convert to fraction form
    470,566/649,381.08 = 258,598/x
  3. Step 3: Cross multiply
    470,566x = 649,381.08 × 258,598
  4. Step 4: Simplify right side
    470,566x = 167,928,648,525.84
  5. Step 5: Solve for x
    x = 167,928,648,525.84/470,566
  6. Step 6: Final answer
    x = 356,865.24

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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.