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Finding the Fourth Proportional to 410,674.10, 616,097.55 and 173,894.90

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Solution

The fourth proportional to 410,674.10, 616,097.55 and 173,894.90 is: 260,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,674.10 : 616,097.55 = 173,894.90 : x
  2. Step 2: Convert to fraction form
    410,674.10/616,097.55 = 173,894.90/x
  3. Step 3: Cross multiply
    410,674.10x = 616,097.55 × 173,894.90
  4. Step 4: Simplify right side
    410,674.10x = 107,136,221,847.50
  5. Step 5: Solve for x
    x = 107,136,221,847.50/410,674.10
  6. Step 6: Final answer
    x = 260,878.94

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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.