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Finding the Fourth Proportional to 462,007.12, 637,580.28 and 271,158.16

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Solution

The fourth proportional to 462,007.12, 637,580.28 and 271,158.16 is: 374,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,007.12 : 637,580.28 = 271,158.16 : x
  2. Step 2: Convert to fraction form
    462,007.12/637,580.28 = 271,158.16/x
  3. Step 3: Cross multiply
    462,007.12x = 637,580.28 × 271,158.16
  4. Step 4: Simplify right side
    462,007.12x = 172,885,095,577.09
  5. Step 5: Solve for x
    x = 172,885,095,577.09/462,007.12
  6. Step 6: Final answer
    x = 374,204.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.