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Finding the Fourth Proportional to 470,532.34, 649,333.26 and 255,672.35

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Solution

The fourth proportional to 470,532.34, 649,333.26 and 255,672.35 is: 352,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,532.34 : 649,333.26 = 255,672.35 : x
  2. Step 2: Convert to fraction form
    470,532.34/649,333.26 = 255,672.35/x
  3. Step 3: Cross multiply
    470,532.34x = 649,333.26 × 255,672.35
  4. Step 4: Simplify right side
    470,532.34x = 166,016,559,705.69
  5. Step 5: Solve for x
    x = 166,016,559,705.69/470,532.34
  6. Step 6: Final answer
    x = 352,827.10

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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.