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Finding the Fourth Proportional to 549,004.16, 823,391.04 and 154,928

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Solution

The fourth proportional to 549,004.16, 823,391.04 and 154,928 is: 232,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,004.16 : 823,391.04 = 154,928 : x
  2. Step 2: Convert to fraction form
    549,004.16/823,391.04 = 154,928/x
  3. Step 3: Cross multiply
    549,004.16x = 823,391.04 × 154,928
  4. Step 4: Simplify right side
    549,004.16x = 127,566,327,045.12
  5. Step 5: Solve for x
    x = 127,566,327,045.12/549,004.16
  6. Step 6: Final answer
    x = 232,359.49

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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.