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Finding the Fourth Proportional to 470,964.80, 649,943.70 and 256,117.40

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Solution

The fourth proportional to 470,964.80, 649,943.70 and 256,117.40 is: 353,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,964.80 : 649,943.70 = 256,117.40 : x
  2. Step 2: Convert to fraction form
    470,964.80/649,943.70 = 256,117.40/x
  3. Step 3: Cross multiply
    470,964.80x = 649,943.70 × 256,117.40
  4. Step 4: Simplify right side
    470,964.80x = 166,461,890,590.38
  5. Step 5: Solve for x
    x = 166,461,890,590.38/470,964.80
  6. Step 6: Final answer
    x = 353,448.69

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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.