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Finding the Fourth Proportional to 565,597.49, 780,529.83 and 310,950.50

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Solution

The fourth proportional to 565,597.49, 780,529.83 and 310,950.50 is: 429,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,597.49 : 780,529.83 = 310,950.50 : x
  2. Step 2: Convert to fraction form
    565,597.49/780,529.83 = 310,950.50/x
  3. Step 3: Cross multiply
    565,597.49x = 780,529.83 × 310,950.50
  4. Step 4: Simplify right side
    565,597.49x = 242,706,140,903.42
  5. Step 5: Solve for x
    x = 242,706,140,903.42/565,597.49
  6. Step 6: Final answer
    x = 429,114.60

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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.