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Finding the Fourth Proportional to 293,886.80, 440,830.20 and 146,430.80

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Solution

The fourth proportional to 293,886.80, 440,830.20 and 146,430.80 is: 219,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,886.80 : 440,830.20 = 146,430.80 : x
  2. Step 2: Convert to fraction form
    293,886.80/440,830.20 = 146,430.80/x
  3. Step 3: Cross multiply
    293,886.80x = 440,830.20 × 146,430.80
  4. Step 4: Simplify right side
    293,886.80x = 64,551,118,850.16
  5. Step 5: Solve for x
    x = 64,551,118,850.16/293,886.80
  6. Step 6: Final answer
    x = 219,646.20

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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.