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Finding the Fourth Proportional to 470,682.30, 649,548.15 and 255,822.30

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Solution

The fourth proportional to 470,682.30, 649,548.15 and 255,822.30 is: 353,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,682.30 : 649,548.15 = 255,822.30 : x
  2. Step 2: Convert to fraction form
    470,682.30/649,548.15 = 255,822.30/x
  3. Step 3: Cross multiply
    470,682.30x = 649,548.15 × 255,822.30
  4. Step 4: Simplify right side
    470,682.30x = 166,168,901,693.75
  5. Step 5: Solve for x
    x = 166,168,901,693.75/470,682.30
  6. Step 6: Final answer
    x = 353,038.35

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1.5x scale

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.