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Finding the Fourth Proportional to 343,323.51, 473,692.55 and 205,446.95

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Solution

The fourth proportional to 343,323.51, 473,692.55 and 205,446.95 is: 283,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,323.51 : 473,692.55 = 205,446.95 : x
  2. Step 2: Convert to fraction form
    343,323.51/473,692.55 = 205,446.95/x
  3. Step 3: Cross multiply
    343,323.51x = 473,692.55 × 205,446.95
  4. Step 4: Simplify right side
    343,323.51x = 97,318,687,898.12
  5. Step 5: Solve for x
    x = 97,318,687,898.12/343,323.51
  6. Step 6: Final answer
    x = 283,460.60

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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.