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Finding the Fourth Proportional to 442,068.70, 663,189.45 and 175,783.90

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Solution

The fourth proportional to 442,068.70, 663,189.45 and 175,783.90 is: 263,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,068.70 : 663,189.45 = 175,783.90 : x
  2. Step 2: Convert to fraction form
    442,068.70/663,189.45 = 175,783.90/x
  3. Step 3: Cross multiply
    442,068.70x = 663,189.45 × 175,783.90
  4. Step 4: Simplify right side
    442,068.70x = 116,578,027,959.86
  5. Step 5: Solve for x
    x = 116,578,027,959.86/442,068.70
  6. Step 6: Final answer
    x = 263,710.21

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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.