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Finding the Fourth Proportional to 293,041.74, 404,435.58 and 165,742.50

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Solution

The fourth proportional to 293,041.74, 404,435.58 and 165,742.50 is: 228,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,041.74 : 404,435.58 = 165,742.50 : x
  2. Step 2: Convert to fraction form
    293,041.74/404,435.58 = 165,742.50/x
  3. Step 3: Cross multiply
    293,041.74x = 404,435.58 × 165,742.50
  4. Step 4: Simplify right side
    293,041.74x = 67,032,164,118.15
  5. Step 5: Solve for x
    x = 67,032,164,118.15/293,041.74
  6. Step 6: Final answer
    x = 228,746.13

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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.