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Finding the Fourth Proportional to 308,001.40, 462,002.10 and 208,274.20

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Solution

The fourth proportional to 308,001.40, 462,002.10 and 208,274.20 is: 312,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,001.40 : 462,002.10 = 208,274.20 : x
  2. Step 2: Convert to fraction form
    308,001.40/462,002.10 = 208,274.20/x
  3. Step 3: Cross multiply
    308,001.40x = 462,002.10 × 208,274.20
  4. Step 4: Simplify right side
    308,001.40x = 96,223,117,775.82
  5. Step 5: Solve for x
    x = 96,223,117,775.82/308,001.40
  6. Step 6: Final answer
    x = 312,411.30

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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.