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Finding the Fourth Proportional to 470,871.14, 649,828.72 and 256,006.58

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Solution

The fourth proportional to 470,871.14, 649,828.72 and 256,006.58 is: 353,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,871.14 : 649,828.72 = 256,006.58 : x
  2. Step 2: Convert to fraction form
    470,871.14/649,828.72 = 256,006.58/x
  3. Step 3: Cross multiply
    470,871.14x = 649,828.72 × 256,006.58
  4. Step 4: Simplify right side
    470,871.14x = 166,360,428,192.98
  5. Step 5: Solve for x
    x = 166,360,428,192.98/470,871.14
  6. Step 6: Final answer
    x = 353,303.51

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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.