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Finding the Fourth Proportional to 522,091.40, 783,137.10 and 342,465.80

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Solution

The fourth proportional to 522,091.40, 783,137.10 and 342,465.80 is: 513,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,091.40 : 783,137.10 = 342,465.80 : x
  2. Step 2: Convert to fraction form
    522,091.40/783,137.10 = 342,465.80/x
  3. Step 3: Cross multiply
    522,091.40x = 783,137.10 × 342,465.80
  4. Step 4: Simplify right side
    522,091.40x = 268,197,673,461.18
  5. Step 5: Solve for x
    x = 268,197,673,461.18/522,091.40
  6. Step 6: Final answer
    x = 513,698.70

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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.