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Finding the Fourth Proportional to 549,784.80, 824,385.60 and 194,810.40

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Solution

The fourth proportional to 549,784.80, 824,385.60 and 194,810.40 is: 292,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,784.80 : 824,385.60 = 194,810.40 : x
  2. Step 2: Convert to fraction form
    549,784.80/824,385.60 = 194,810.40/x
  3. Step 3: Cross multiply
    549,784.80x = 824,385.60 × 194,810.40
  4. Step 4: Simplify right side
    549,784.80x = 160,598,888,490.24
  5. Step 5: Solve for x
    x = 160,598,888,490.24/549,784.80
  6. Step 6: Final answer
    x = 292,112.27

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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.