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Finding the Fourth Proportional to 429,167.95, 592,261.50 and 238,193.64

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Solution

The fourth proportional to 429,167.95, 592,261.50 and 238,193.64 is: 328,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,167.95 : 592,261.50 = 238,193.64 : x
  2. Step 2: Convert to fraction form
    429,167.95/592,261.50 = 238,193.64/x
  3. Step 3: Cross multiply
    429,167.95x = 592,261.50 × 238,193.64
  4. Step 4: Simplify right side
    429,167.95x = 141,072,922,516.86
  5. Step 5: Solve for x
    x = 141,072,922,516.86/429,167.95
  6. Step 6: Final answer
    x = 328,712.62

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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.