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Finding the Fourth Proportional to 364,561.80, 546,842.70 and 311,417.70

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Solution

The fourth proportional to 364,561.80, 546,842.70 and 311,417.70 is: 467,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,561.80 : 546,842.70 = 311,417.70 : x
  2. Step 2: Convert to fraction form
    364,561.80/546,842.70 = 311,417.70/x
  3. Step 3: Cross multiply
    364,561.80x = 546,842.70 × 311,417.70
  4. Step 4: Simplify right side
    364,561.80x = 170,296,495,895.79
  5. Step 5: Solve for x
    x = 170,296,495,895.79/364,561.80
  6. Step 6: Final answer
    x = 467,126.55

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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.