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Finding the Fourth Proportional to 374,877.23, 517,317.71 and 213,784.13

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Solution

The fourth proportional to 374,877.23, 517,317.71 and 213,784.13 is: 295,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,877.23 : 517,317.71 = 213,784.13 : x
  2. Step 2: Convert to fraction form
    374,877.23/517,317.71 = 213,784.13/x
  3. Step 3: Cross multiply
    374,877.23x = 517,317.71 × 213,784.13
  4. Step 4: Simplify right side
    374,877.23x = 110,594,316,565.94
  5. Step 5: Solve for x
    x = 110,594,316,565.94/374,877.23
  6. Step 6: Final answer
    x = 295,014.76

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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.