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Finding the Fourth Proportional to 706,585.84, 974,709.94 and 491,352.24

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Solution

The fourth proportional to 706,585.84, 974,709.94 and 491,352.24 is: 677,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,585.84 : 974,709.94 = 491,352.24 : x
  2. Step 2: Convert to fraction form
    706,585.84/974,709.94 = 491,352.24/x
  3. Step 3: Cross multiply
    706,585.84x = 974,709.94 × 491,352.24
  4. Step 4: Simplify right side
    706,585.84x = 478,925,912,369.27
  5. Step 5: Solve for x
    x = 478,925,912,369.27/706,585.84
  6. Step 6: Final answer
    x = 677,802.87

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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.