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Finding the Fourth Proportional to 474,059.60, 710,830.20 and 193,259.60

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Solution

The fourth proportional to 474,059.60, 710,830.20 and 193,259.60 is: 289,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,059.60 : 710,830.20 = 193,259.60 : x
  2. Step 2: Convert to fraction form
    474,059.60/710,830.20 = 193,259.60/x
  3. Step 3: Cross multiply
    474,059.60x = 710,830.20 × 193,259.60
  4. Step 4: Simplify right side
    474,059.60x = 137,374,760,119.92
  5. Step 5: Solve for x
    x = 137,374,760,119.92/474,059.60
  6. Step 6: Final answer
    x = 289,783.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.