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Finding the Fourth Proportional to 475,484.20, 712,475.10 and 175,551.40

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Solution

The fourth proportional to 475,484.20, 712,475.10 and 175,551.40 is: 263,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,484.20 : 712,475.10 = 175,551.40 : x
  2. Step 2: Convert to fraction form
    475,484.20/712,475.10 = 175,551.40/x
  3. Step 3: Cross multiply
    475,484.20x = 712,475.10 × 175,551.40
  4. Step 4: Simplify right side
    475,484.20x = 125,076,001,270.14
  5. Step 5: Solve for x
    x = 125,076,001,270.14/475,484.20
  6. Step 6: Final answer
    x = 263,049.75

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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.