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Finding the Fourth Proportional to 411,024.30, 616,536.45 and 317,712.30

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Solution

The fourth proportional to 411,024.30, 616,536.45 and 317,712.30 is: 476,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,024.30 : 616,536.45 = 317,712.30 : x
  2. Step 2: Convert to fraction form
    411,024.30/616,536.45 = 317,712.30/x
  3. Step 3: Cross multiply
    411,024.30x = 616,536.45 × 317,712.30
  4. Step 4: Simplify right side
    411,024.30x = 195,881,213,563.34
  5. Step 5: Solve for x
    x = 195,881,213,563.34/411,024.30
  6. Step 6: Final answer
    x = 476,568.45

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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.