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Finding the Fourth Proportional to 304,146.71, 419,554.10 and 176,808.23

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Solution

The fourth proportional to 304,146.71, 419,554.10 and 176,808.23 is: 243,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,146.71 : 419,554.10 = 176,808.23 : x
  2. Step 2: Convert to fraction form
    304,146.71/419,554.10 = 176,808.23/x
  3. Step 3: Cross multiply
    304,146.71x = 419,554.10 × 176,808.23
  4. Step 4: Simplify right side
    304,146.71x = 74,180,616,154.49
  5. Step 5: Solve for x
    x = 74,180,616,154.49/304,146.71
  6. Step 6: Final answer
    x = 243,897.48

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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.