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Finding the Fourth Proportional to 464,910.30, 697,365.45 and 314,335.35

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Solution

The fourth proportional to 464,910.30, 697,365.45 and 314,335.35 is: 471,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,910.30 : 697,365.45 = 314,335.35 : x
  2. Step 2: Convert to fraction form
    464,910.30/697,365.45 = 314,335.35/x
  3. Step 3: Cross multiply
    464,910.30x = 697,365.45 × 314,335.35
  4. Step 4: Simplify right side
    464,910.30x = 219,206,612,803.66
  5. Step 5: Solve for x
    x = 219,206,612,803.66/464,910.30
  6. Step 6: Final answer
    x = 471,503.03

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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.