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Finding the Fourth Proportional to 474,041.60, 710,803.20 and 193,241.60

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Solution

The fourth proportional to 474,041.60, 710,803.20 and 193,241.60 is: 289,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,041.60 : 710,803.20 = 193,241.60 : x
  2. Step 2: Convert to fraction form
    474,041.60/710,803.20 = 193,241.60/x
  3. Step 3: Cross multiply
    474,041.60x = 710,803.20 × 193,241.60
  4. Step 4: Simplify right side
    474,041.60x = 137,356,747,653.12
  5. Step 5: Solve for x
    x = 137,356,747,653.12/474,041.60
  6. Step 6: Final answer
    x = 289,756.74

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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.