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Finding the Fourth Proportional to 310,055.40, 465,083.10 and 304,806.60

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Solution

The fourth proportional to 310,055.40, 465,083.10 and 304,806.60 is: 457,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,055.40 : 465,083.10 = 304,806.60 : x
  2. Step 2: Convert to fraction form
    310,055.40/465,083.10 = 304,806.60/x
  3. Step 3: Cross multiply
    310,055.40x = 465,083.10 × 304,806.60
  4. Step 4: Simplify right side
    310,055.40x = 141,760,398,428.46
  5. Step 5: Solve for x
    x = 141,760,398,428.46/310,055.40
  6. Step 6: Final answer
    x = 457,209.90

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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.