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Finding the Fourth Proportional to 434,542.60, 651,813.90 and 282,327.40

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Solution

The fourth proportional to 434,542.60, 651,813.90 and 282,327.40 is: 423,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,542.60 : 651,813.90 = 282,327.40 : x
  2. Step 2: Convert to fraction form
    434,542.60/651,813.90 = 282,327.40/x
  3. Step 3: Cross multiply
    434,542.60x = 651,813.90 × 282,327.40
  4. Step 4: Simplify right side
    434,542.60x = 184,024,923,670.86
  5. Step 5: Solve for x
    x = 184,024,923,670.86/434,542.60
  6. Step 6: Final answer
    x = 423,491.10

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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.