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Finding the Fourth Proportional to 549,700.80, 824,259.60 and 194,726.40

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Solution

The fourth proportional to 549,700.80, 824,259.60 and 194,726.40 is: 291,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,700.80 : 824,259.60 = 194,726.40 : x
  2. Step 2: Convert to fraction form
    549,700.80/824,259.60 = 194,726.40/x
  3. Step 3: Cross multiply
    549,700.80x = 824,259.60 × 194,726.40
  4. Step 4: Simplify right side
    549,700.80x = 160,505,104,573.44
  5. Step 5: Solve for x
    x = 160,505,104,573.44/549,700.80
  6. Step 6: Final answer
    x = 291,986.30

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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.