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Finding the Fourth Proportional to 364,513.40, 546,770.10 and 306,776.60

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Solution

The fourth proportional to 364,513.40, 546,770.10 and 306,776.60 is: 460,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,513.40 : 546,770.10 = 306,776.60 : x
  2. Step 2: Convert to fraction form
    364,513.40/546,770.10 = 306,776.60/x
  3. Step 3: Cross multiply
    364,513.40x = 546,770.10 × 306,776.60
  4. Step 4: Simplify right side
    364,513.40x = 167,736,272,259.66
  5. Step 5: Solve for x
    x = 167,736,272,259.66/364,513.40
  6. Step 6: Final answer
    x = 460,164.90

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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.