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Finding the Fourth Proportional to 506,871.68, 699,657.75 and 292,097.34

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Solution

The fourth proportional to 506,871.68, 699,657.75 and 292,097.34 is: 403,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,871.68 : 699,657.75 = 292,097.34 : x
  2. Step 2: Convert to fraction form
    506,871.68/699,657.75 = 292,097.34/x
  3. Step 3: Cross multiply
    506,871.68x = 699,657.75 × 292,097.34
  4. Step 4: Simplify right side
    506,871.68x = 204,368,167,685.39
  5. Step 5: Solve for x
    x = 204,368,167,685.39/506,871.68
  6. Step 6: Final answer
    x = 403,195.08

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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.