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Finding the Fourth Proportional to 469,364.20, 704,046.30 and 282,740.20

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Solution

The fourth proportional to 469,364.20, 704,046.30 and 282,740.20 is: 424,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,364.20 : 704,046.30 = 282,740.20 : x
  2. Step 2: Convert to fraction form
    469,364.20/704,046.30 = 282,740.20/x
  3. Step 3: Cross multiply
    469,364.20x = 704,046.30 × 282,740.20
  4. Step 4: Simplify right side
    469,364.20x = 199,062,191,671.26
  5. Step 5: Solve for x
    x = 199,062,191,671.26/469,364.20
  6. Step 6: Final answer
    x = 424,110.30

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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.