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Finding the Fourth Proportional to 304,097.30, 419,646.87 and 168,127.74

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Solution

The fourth proportional to 304,097.30, 419,646.87 and 168,127.74 is: 232,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,097.30 : 419,646.87 = 168,127.74 : x
  2. Step 2: Convert to fraction form
    304,097.30/419,646.87 = 168,127.74/x
  3. Step 3: Cross multiply
    304,097.30x = 419,646.87 × 168,127.74
  4. Step 4: Simplify right side
    304,097.30x = 70,554,279,851.17
  5. Step 5: Solve for x
    x = 70,554,279,851.17/304,097.30
  6. Step 6: Final answer
    x = 232,012.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.