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Finding the Fourth Proportional to 411,111.40, 616,176.24 and 211,527.40

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Solution

The fourth proportional to 411,111.40, 616,176.24 and 211,527.40 is: 317,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,111.40 : 616,176.24 = 211,527.40 : x
  2. Step 2: Convert to fraction form
    411,111.40/616,176.24 = 211,527.40/x
  3. Step 3: Cross multiply
    411,111.40x = 616,176.24 × 211,527.40
  4. Step 4: Simplify right side
    411,111.40x = 130,338,157,988.98
  5. Step 5: Solve for x
    x = 130,338,157,988.98/411,111.40
  6. Step 6: Final answer
    x = 317,038.54

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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.