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Finding the Fourth Proportional to 357,807.80, 493,821.48 and 230,852.72

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Solution

The fourth proportional to 357,807.80, 493,821.48 and 230,852.72 is: 318,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,807.80 : 493,821.48 = 230,852.72 : x
  2. Step 2: Convert to fraction form
    357,807.80/493,821.48 = 230,852.72/x
  3. Step 3: Cross multiply
    357,807.80x = 493,821.48 × 230,852.72
  4. Step 4: Simplify right side
    357,807.80x = 114,000,031,852.43
  5. Step 5: Solve for x
    x = 114,000,031,852.43/357,807.80
  6. Step 6: Final answer
    x = 318,606.89

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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.