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Finding the Fourth Proportional to 374,547.96, 516,749.58 and 213,288.66

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Solution

The fourth proportional to 374,547.96, 516,749.58 and 213,288.66 is: 294,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,547.96 : 516,749.58 = 213,288.66 : x
  2. Step 2: Convert to fraction form
    374,547.96/516,749.58 = 213,288.66/x
  3. Step 3: Cross multiply
    374,547.96x = 516,749.58 × 213,288.66
  4. Step 4: Simplify right side
    374,547.96x = 110,216,825,473.76
  5. Step 5: Solve for x
    x = 110,216,825,473.76/374,547.96
  6. Step 6: Final answer
    x = 294,266.25

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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.