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Finding the Fourth Proportional to 310,072.40, 465,108.60 and 304,823.60

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Solution

The fourth proportional to 310,072.40, 465,108.60 and 304,823.60 is: 457,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,072.40 : 465,108.60 = 304,823.60 : x
  2. Step 2: Convert to fraction form
    310,072.40/465,108.60 = 304,823.60/x
  3. Step 3: Cross multiply
    310,072.40x = 465,108.60 × 304,823.60
  4. Step 4: Simplify right side
    310,072.40x = 141,776,077,842.96
  5. Step 5: Solve for x
    x = 141,776,077,842.96/310,072.40
  6. Step 6: Final answer
    x = 457,235.40

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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.