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Finding the Fourth Proportional to 471,354, 707,032.46 and 116,368.06

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Solution

The fourth proportional to 471,354, 707,032.46 and 116,368.06 is: 174,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,354 : 707,032.46 = 116,368.06 : x
  2. Step 2: Convert to fraction form
    471,354/707,032.46 = 116,368.06/x
  3. Step 3: Cross multiply
    471,354x = 707,032.46 × 116,368.06
  4. Step 4: Simplify right side
    471,354x = 82,275,995,727.23
  5. Step 5: Solve for x
    x = 82,275,995,727.23/471,354
  6. Step 6: Final answer
    x = 174,552.45

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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.