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Finding the Fourth Proportional to 406,750.56, 609,841.20 and 292,971.84

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Solution

The fourth proportional to 406,750.56, 609,841.20 and 292,971.84 is: 439,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,750.56 : 609,841.20 = 292,971.84 : x
  2. Step 2: Convert to fraction form
    406,750.56/609,841.20 = 292,971.84/x
  3. Step 3: Cross multiply
    406,750.56x = 609,841.20 × 292,971.84
  4. Step 4: Simplify right side
    406,750.56x = 178,666,298,471.81
  5. Step 5: Solve for x
    x = 178,666,298,471.81/406,750.56
  6. Step 6: Final answer
    x = 439,252.74

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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.