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Finding the Fourth Proportional to 364,513.80, 546,770.70 and 288,406.20

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Solution

The fourth proportional to 364,513.80, 546,770.70 and 288,406.20 is: 432,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,513.80 : 546,770.70 = 288,406.20 : x
  2. Step 2: Convert to fraction form
    364,513.80/546,770.70 = 288,406.20/x
  3. Step 3: Cross multiply
    364,513.80x = 546,770.70 × 288,406.20
  4. Step 4: Simplify right side
    364,513.80x = 157,692,059,858.34
  5. Step 5: Solve for x
    x = 157,692,059,858.34/364,513.80
  6. Step 6: Final answer
    x = 432,609.30

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1.5x scale

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.