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Finding the Fourth Proportional to 509,584.80, 763,502.40 and 332,000.40

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Solution

The fourth proportional to 509,584.80, 763,502.40 and 332,000.40 is: 497,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,584.80 : 763,502.40 = 332,000.40 : x
  2. Step 2: Convert to fraction form
    509,584.80/763,502.40 = 332,000.40/x
  3. Step 3: Cross multiply
    509,584.80x = 763,502.40 × 332,000.40
  4. Step 4: Simplify right side
    509,584.80x = 253,483,102,200.96
  5. Step 5: Solve for x
    x = 253,483,102,200.96/509,584.80
  6. Step 6: Final answer
    x = 497,430.66

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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.