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Finding the Fourth Proportional to 503,770.40, 694,468.74 and 382,701.50

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Solution

The fourth proportional to 503,770.40, 694,468.74 and 382,701.50 is: 527,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,770.40 : 694,468.74 = 382,701.50 : x
  2. Step 2: Convert to fraction form
    503,770.40/694,468.74 = 382,701.50/x
  3. Step 3: Cross multiply
    503,770.40x = 694,468.74 × 382,701.50
  4. Step 4: Simplify right side
    503,770.40x = 265,774,228,501.11
  5. Step 5: Solve for x
    x = 265,774,228,501.11/503,770.40
  6. Step 6: Final answer
    x = 527,570.16

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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.