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Finding the Fourth Proportional to 470,892.52, 649,828.32 and 256,032.72

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Solution

The fourth proportional to 470,892.52, 649,828.32 and 256,032.72 is: 353,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.52 : 649,828.32 = 256,032.72 : x
  2. Step 2: Convert to fraction form
    470,892.52/649,828.32 = 256,032.72/x
  3. Step 3: Cross multiply
    470,892.52x = 649,828.32 × 256,032.72
  4. Step 4: Simplify right side
    470,892.52x = 166,377,312,302.63
  5. Step 5: Solve for x
    x = 166,377,312,302.63/470,892.52
  6. Step 6: Final answer
    x = 353,323.33

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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.