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Finding the Fourth Proportional to 500,952.19, 749,654.49 and 311,501.77

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Solution

The fourth proportional to 500,952.19, 749,654.49 and 311,501.77 is: 466,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,952.19 : 749,654.49 = 311,501.77 : x
  2. Step 2: Convert to fraction form
    500,952.19/749,654.49 = 311,501.77/x
  3. Step 3: Cross multiply
    500,952.19x = 749,654.49 × 311,501.77
  4. Step 4: Simplify right side
    500,952.19x = 233,518,700,523.45
  5. Step 5: Solve for x
    x = 233,518,700,523.45/500,952.19
  6. Step 6: Final answer
    x = 466,149.67

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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.