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Finding the Fourth Proportional to 565,924, 781,086.06 and 324,368.50

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Solution

The fourth proportional to 565,924, 781,086.06 and 324,368.50 is: 447,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,924 : 781,086.06 = 324,368.50 : x
  2. Step 2: Convert to fraction form
    565,924/781,086.06 = 324,368.50/x
  3. Step 3: Cross multiply
    565,924x = 781,086.06 × 324,368.50
  4. Step 4: Simplify right side
    565,924x = 253,359,713,653.11
  5. Step 5: Solve for x
    x = 253,359,713,653.11/565,924
  6. Step 6: Final answer
    x = 447,692.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.