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Finding the Fourth Proportional to 470,440.36, 649,210.80 and 255,580.36

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Solution

The fourth proportional to 470,440.36, 649,210.80 and 255,580.36 is: 352,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,440.36 : 649,210.80 = 255,580.36 : x
  2. Step 2: Convert to fraction form
    470,440.36/649,210.80 = 255,580.36/x
  3. Step 3: Cross multiply
    470,440.36x = 649,210.80 × 255,580.36
  4. Step 4: Simplify right side
    470,440.36x = 165,925,531,529.46
  5. Step 5: Solve for x
    x = 165,925,531,529.46/470,440.36
  6. Step 6: Final answer
    x = 352,702.59

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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.