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Finding the Fourth Proportional to 294,570.92, 406,482.90 and 165,499.31

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Solution

The fourth proportional to 294,570.92, 406,482.90 and 165,499.31 is: 228,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,570.92 : 406,482.90 = 165,499.31 : x
  2. Step 2: Convert to fraction form
    294,570.92/406,482.90 = 165,499.31/x
  3. Step 3: Cross multiply
    294,570.92x = 406,482.90 × 165,499.31
  4. Step 4: Simplify right side
    294,570.92x = 67,272,637,444.38
  5. Step 5: Solve for x
    x = 67,272,637,444.38/294,570.92
  6. Step 6: Final answer
    x = 228,375.02

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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.