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Finding the Fourth Proportional to 364,483.79, 546,282.43 and 257,898.46

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Solution

The fourth proportional to 364,483.79, 546,282.43 and 257,898.46 is: 386,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,483.79 : 546,282.43 = 257,898.46 : x
  2. Step 2: Convert to fraction form
    364,483.79/546,282.43 = 257,898.46/x
  3. Step 3: Cross multiply
    364,483.79x = 546,282.43 × 257,898.46
  4. Step 4: Simplify right side
    364,483.79x = 140,885,396,701.10
  5. Step 5: Solve for x
    x = 140,885,396,701.10/364,483.79
  6. Step 6: Final answer
    x = 386,534.06

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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.