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Finding the Fourth Proportional to 549,410.96, 823,946.88 and 194,343.32

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Solution

The fourth proportional to 549,410.96, 823,946.88 and 194,343.32 is: 291,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,410.96 : 823,946.88 = 194,343.32 : x
  2. Step 2: Convert to fraction form
    549,410.96/823,946.88 = 194,343.32/x
  3. Step 3: Cross multiply
    549,410.96x = 823,946.88 × 194,343.32
  4. Step 4: Simplify right side
    549,410.96x = 160,128,572,162.84
  5. Step 5: Solve for x
    x = 160,128,572,162.84/549,410.96
  6. Step 6: Final answer
    x = 291,455.00

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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.