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Finding the Fourth Proportional to 476,164.40, 714,246.60 and 413,956.40

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Solution

The fourth proportional to 476,164.40, 714,246.60 and 413,956.40 is: 620,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,164.40 : 714,246.60 = 413,956.40 : x
  2. Step 2: Convert to fraction form
    476,164.40/714,246.60 = 413,956.40/x
  3. Step 3: Cross multiply
    476,164.40x = 714,246.60 × 413,956.40
  4. Step 4: Simplify right side
    476,164.40x = 295,666,951,248.24
  5. Step 5: Solve for x
    x = 295,666,951,248.24/476,164.40
  6. Step 6: Final answer
    x = 620,934.60

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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.