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Finding the Fourth Proportional to 475,295.40, 713,051.10 and 159,784.20

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Solution

The fourth proportional to 475,295.40, 713,051.10 and 159,784.20 is: 239,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,295.40 : 713,051.10 = 159,784.20 : x
  2. Step 2: Convert to fraction form
    475,295.40/713,051.10 = 159,784.20/x
  3. Step 3: Cross multiply
    475,295.40x = 713,051.10 × 159,784.20
  4. Step 4: Simplify right side
    475,295.40x = 113,934,299,572.62
  5. Step 5: Solve for x
    x = 113,934,299,572.62/475,295.40
  6. Step 6: Final answer
    x = 239,712.61

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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.