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Finding the Fourth Proportional to 364,266.40, 546,399.60 and 206,802.40

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Solution

The fourth proportional to 364,266.40, 546,399.60 and 206,802.40 is: 310,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,266.40 : 546,399.60 = 206,802.40 : x
  2. Step 2: Convert to fraction form
    364,266.40/546,399.60 = 206,802.40/x
  3. Step 3: Cross multiply
    364,266.40x = 546,399.60 × 206,802.40
  4. Step 4: Simplify right side
    364,266.40x = 112,996,748,639.04
  5. Step 5: Solve for x
    x = 112,996,748,639.04/364,266.40
  6. Step 6: Final answer
    x = 310,203.60

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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.