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Finding the Fourth Proportional to 286,316.10, 429,474.15 and 202,335.30

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Solution

The fourth proportional to 286,316.10, 429,474.15 and 202,335.30 is: 303,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,316.10 : 429,474.15 = 202,335.30 : x
  2. Step 2: Convert to fraction form
    286,316.10/429,474.15 = 202,335.30/x
  3. Step 3: Cross multiply
    286,316.10x = 429,474.15 × 202,335.30
  4. Step 4: Simplify right side
    286,316.10x = 86,897,780,982.50
  5. Step 5: Solve for x
    x = 86,897,780,982.50/286,316.10
  6. Step 6: Final answer
    x = 303,502.95

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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.