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Finding the Fourth Proportional to 470,871.64, 649,799.70 and 256,011.64

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Solution

The fourth proportional to 470,871.64, 649,799.70 and 256,011.64 is: 353,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,871.64 : 649,799.70 = 256,011.64 : x
  2. Step 2: Convert to fraction form
    470,871.64/649,799.70 = 256,011.64/x
  3. Step 3: Cross multiply
    470,871.64x = 649,799.70 × 256,011.64
  4. Step 4: Simplify right side
    470,871.64x = 166,356,286,868.51
  5. Step 5: Solve for x
    x = 166,356,286,868.51/470,871.64
  6. Step 6: Final answer
    x = 353,294.34

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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.