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Finding the Fourth Proportional to 410,847.40, 616,271.10 and 189,663.40

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Solution

The fourth proportional to 410,847.40, 616,271.10 and 189,663.40 is: 284,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,847.40 : 616,271.10 = 189,663.40 : x
  2. Step 2: Convert to fraction form
    410,847.40/616,271.10 = 189,663.40/x
  3. Step 3: Cross multiply
    410,847.40x = 616,271.10 × 189,663.40
  4. Step 4: Simplify right side
    410,847.40x = 116,884,072,147.74
  5. Step 5: Solve for x
    x = 116,884,072,147.74/410,847.40
  6. Step 6: Final answer
    x = 284,495.10

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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.