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Finding the Fourth Proportional to 516,543.12, 774,859.32 and 142,566.12

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Solution

The fourth proportional to 516,543.12, 774,859.32 and 142,566.12 is: 213,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,543.12 : 774,859.32 = 142,566.12 : x
  2. Step 2: Convert to fraction form
    516,543.12/774,859.32 = 142,566.12/x
  3. Step 3: Cross multiply
    516,543.12x = 774,859.32 × 142,566.12
  4. Step 4: Simplify right side
    516,543.12x = 110,468,686,798.24
  5. Step 5: Solve for x
    x = 110,468,686,798.24/516,543.12
  6. Step 6: Final answer
    x = 213,861.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.