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Finding the Fourth Proportional to 723,058.06, 997,817.52 and 400,765

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Solution

The fourth proportional to 723,058.06, 997,817.52 and 400,765 is: 553,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,058.06 : 997,817.52 = 400,765 : x
  2. Step 2: Convert to fraction form
    723,058.06/997,817.52 = 400,765/x
  3. Step 3: Cross multiply
    723,058.06x = 997,817.52 × 400,765
  4. Step 4: Simplify right side
    723,058.06x = 399,890,338,402.80
  5. Step 5: Solve for x
    x = 399,890,338,402.80/723,058.06
  6. Step 6: Final answer
    x = 553,054.26

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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.