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Finding the Fourth Proportional to 472,833.45, 652,486.19 and 257,971.77

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Solution

The fourth proportional to 472,833.45, 652,486.19 and 257,971.77 is: 355,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,833.45 : 652,486.19 = 257,971.77 : x
  2. Step 2: Convert to fraction form
    472,833.45/652,486.19 = 257,971.77/x
  3. Step 3: Cross multiply
    472,833.45x = 652,486.19 × 257,971.77
  4. Step 4: Simplify right side
    472,833.45x = 168,323,016,045.00
  5. Step 5: Solve for x
    x = 168,323,016,045.00/472,833.45
  6. Step 6: Final answer
    x = 355,987.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.