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Finding the Fourth Proportional to 429,382.90, 592,525.23 and 238,384

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Solution

The fourth proportional to 429,382.90, 592,525.23 and 238,384 is: 328,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,382.90 : 592,525.23 = 238,384 : x
  2. Step 2: Convert to fraction form
    429,382.90/592,525.23 = 238,384/x
  3. Step 3: Cross multiply
    429,382.90x = 592,525.23 × 238,384
  4. Step 4: Simplify right side
    429,382.90x = 141,248,534,428.32
  5. Step 5: Solve for x
    x = 141,248,534,428.32/429,382.90
  6. Step 6: Final answer
    x = 328,957.06

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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.