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Finding the Fourth Proportional to 532,796.52, 735,259.16 and 294,332.52

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Solution

The fourth proportional to 532,796.52, 735,259.16 and 294,332.52 is: 406,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,796.52 : 735,259.16 = 294,332.52 : x
  2. Step 2: Convert to fraction form
    532,796.52/735,259.16 = 294,332.52/x
  3. Step 3: Cross multiply
    532,796.52x = 735,259.16 × 294,332.52
  4. Step 4: Simplify right side
    532,796.52x = 216,410,681,415.88
  5. Step 5: Solve for x
    x = 216,410,681,415.88/532,796.52
  6. Step 6: Final answer
    x = 406,178.86

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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.