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Finding the Fourth Proportional to 571,186.20, 788,323.80 and 364,543.74

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Solution

The fourth proportional to 571,186.20, 788,323.80 and 364,543.74 is: 503,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,186.20 : 788,323.80 = 364,543.74 : x
  2. Step 2: Convert to fraction form
    571,186.20/788,323.80 = 364,543.74/x
  3. Step 3: Cross multiply
    571,186.20x = 788,323.80 × 364,543.74
  4. Step 4: Simplify right side
    571,186.20x = 287,378,506,383.01
  5. Step 5: Solve for x
    x = 287,378,506,383.01/571,186.20
  6. Step 6: Final answer
    x = 503,125.79

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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.