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Finding the Fourth Proportional to 429,193.29, 592,275.47 and 238,201.77

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Solution

The fourth proportional to 429,193.29, 592,275.47 and 238,201.77 is: 328,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,193.29 : 592,275.47 = 238,201.77 : x
  2. Step 2: Convert to fraction form
    429,193.29/592,275.47 = 238,201.77/x
  3. Step 3: Cross multiply
    429,193.29x = 592,275.47 × 238,201.77
  4. Step 4: Simplify right side
    429,193.29x = 141,081,064,090.57
  5. Step 5: Solve for x
    x = 141,081,064,090.57/429,193.29
  6. Step 6: Final answer
    x = 328,712.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.