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Finding the Fourth Proportional to 713,274.67, 984,419.73 and 441,430.10

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Solution

The fourth proportional to 713,274.67, 984,419.73 and 441,430.10 is: 609,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,274.67 : 984,419.73 = 441,430.10 : x
  2. Step 2: Convert to fraction form
    713,274.67/984,419.73 = 441,430.10/x
  3. Step 3: Cross multiply
    713,274.67x = 984,419.73 × 441,430.10
  4. Step 4: Simplify right side
    713,274.67x = 434,552,499,855.87
  5. Step 5: Solve for x
    x = 434,552,499,855.87/713,274.67
  6. Step 6: Final answer
    x = 609,235.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.