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Finding the Fourth Proportional to 565,597.02, 780,529.14 and 310,950

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Solution

The fourth proportional to 565,597.02, 780,529.14 and 310,950 is: 429,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,597.02 : 780,529.14 = 310,950 : x
  2. Step 2: Convert to fraction form
    565,597.02/780,529.14 = 310,950/x
  3. Step 3: Cross multiply
    565,597.02x = 780,529.14 × 310,950
  4. Step 4: Simplify right side
    565,597.02x = 242,705,536,083
  5. Step 5: Solve for x
    x = 242,705,536,083/565,597.02
  6. Step 6: Final answer
    x = 429,113.89

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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.