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Finding the Fourth Proportional to 470,644.68, 649,494.68 and 255,784.76

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Solution

The fourth proportional to 470,644.68, 649,494.68 and 255,784.76 is: 352,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,644.68 : 649,494.68 = 255,784.76 : x
  2. Step 2: Convert to fraction form
    470,644.68/649,494.68 = 255,784.76/x
  3. Step 3: Cross multiply
    470,644.68x = 649,494.68 × 255,784.76
  4. Step 4: Simplify right side
    470,644.68x = 166,130,836,318.68
  5. Step 5: Solve for x
    x = 166,130,836,318.68/470,644.68
  6. Step 6: Final answer
    x = 352,985.69

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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.