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Finding the Fourth Proportional to 310,007.52, 463,802.68 and 271,753.10

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Solution

The fourth proportional to 310,007.52, 463,802.68 and 271,753.10 is: 406,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,007.52 : 463,802.68 = 271,753.10 : x
  2. Step 2: Convert to fraction form
    310,007.52/463,802.68 = 271,753.10/x
  3. Step 3: Cross multiply
    310,007.52x = 463,802.68 × 271,753.10
  4. Step 4: Simplify right side
    310,007.52x = 126,039,816,078.31
  5. Step 5: Solve for x
    x = 126,039,816,078.31/310,007.52
  6. Step 6: Final answer
    x = 406,570.19

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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.