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Finding the Fourth Proportional to 470,678.33, 649,541.15 and 255,818.40

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Solution

The fourth proportional to 470,678.33, 649,541.15 and 255,818.40 is: 353,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,678.33 : 649,541.15 = 255,818.40 : x
  2. Step 2: Convert to fraction form
    470,678.33/649,541.15 = 255,818.40/x
  3. Step 3: Cross multiply
    470,678.33x = 649,541.15 × 255,818.40
  4. Step 4: Simplify right side
    470,678.33x = 166,164,576,448.07
  5. Step 5: Solve for x
    x = 166,164,576,448.07/470,678.33
  6. Step 6: Final answer
    x = 353,032.14

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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.