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Finding the Fourth Proportional to 470,871.64, 649,829.41 and 256,007.08

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Solution

The fourth proportional to 470,871.64, 649,829.41 and 256,007.08 is: 353,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,871.64 : 649,829.41 = 256,007.08 : x
  2. Step 2: Convert to fraction form
    470,871.64/649,829.41 = 256,007.08/x
  3. Step 3: Cross multiply
    470,871.64x = 649,829.41 × 256,007.08
  4. Step 4: Simplify right side
    470,871.64x = 166,360,929,752.22
  5. Step 5: Solve for x
    x = 166,360,929,752.22/470,871.64
  6. Step 6: Final answer
    x = 353,304.20

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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.