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Finding the Fourth Proportional to 429,041.81, 592,077.80 and 238,056.57

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Solution

The fourth proportional to 429,041.81, 592,077.80 and 238,056.57 is: 328,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,041.81 : 592,077.80 = 238,056.57 : x
  2. Step 2: Convert to fraction form
    429,041.81/592,077.80 = 238,056.57/x
  3. Step 3: Cross multiply
    429,041.81x = 592,077.80 × 238,056.57
  4. Step 4: Simplify right side
    429,041.81x = 140,948,010,836.29
  5. Step 5: Solve for x
    x = 140,948,010,836.29/429,041.81
  6. Step 6: Final answer
    x = 328,518.12

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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.