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Finding the Fourth Proportional to 565,952.77, 780,998.52 and 311,303.98

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Solution

The fourth proportional to 565,952.77, 780,998.52 and 311,303.98 is: 429,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,952.77 : 780,998.52 = 311,303.98 : x
  2. Step 2: Convert to fraction form
    565,952.77/780,998.52 = 311,303.98/x
  3. Step 3: Cross multiply
    565,952.77x = 780,998.52 × 311,303.98
  4. Step 4: Simplify right side
    565,952.77x = 243,127,947,650.11
  5. Step 5: Solve for x
    x = 243,127,947,650.11/565,952.77
  6. Step 6: Final answer
    x = 429,590.53

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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.