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Finding the Fourth Proportional to 385,783.80, 578,502.90 and 175,313.40

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Solution

The fourth proportional to 385,783.80, 578,502.90 and 175,313.40 is: 262,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,783.80 : 578,502.90 = 175,313.40 : x
  2. Step 2: Convert to fraction form
    385,783.80/578,502.90 = 175,313.40/x
  3. Step 3: Cross multiply
    385,783.80x = 578,502.90 × 175,313.40
  4. Step 4: Simplify right side
    385,783.80x = 101,419,310,308.86
  5. Step 5: Solve for x
    x = 101,419,310,308.86/385,783.80
  6. Step 6: Final answer
    x = 262,891.57

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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.