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Finding the Fourth Proportional to 470,711.58, 649,594.68 and 255,866.16

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Solution

The fourth proportional to 470,711.58, 649,594.68 and 255,866.16 is: 353,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,711.58 : 649,594.68 = 255,866.16 : x
  2. Step 2: Convert to fraction form
    470,711.58/649,594.68 = 255,866.16/x
  3. Step 3: Cross multiply
    470,711.58x = 649,594.68 × 255,866.16
  4. Step 4: Simplify right side
    470,711.58x = 166,209,296,328.03
  5. Step 5: Solve for x
    x = 166,209,296,328.03/470,711.58
  6. Step 6: Final answer
    x = 353,102.20

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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.