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Finding the Fourth Proportional to 402,847.60, 555,886.08 and 233,050

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Solution

The fourth proportional to 402,847.60, 555,886.08 and 233,050 is: 321,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,847.60 : 555,886.08 = 233,050 : x
  2. Step 2: Convert to fraction form
    402,847.60/555,886.08 = 233,050/x
  3. Step 3: Cross multiply
    402,847.60x = 555,886.08 × 233,050
  4. Step 4: Simplify right side
    402,847.60x = 129,549,250,944.00
  5. Step 5: Solve for x
    x = 129,549,250,944.00/402,847.60
  6. Step 6: Final answer
    x = 321,583.77

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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.