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Finding the Fourth Proportional to 429,071.34, 592,116.54 and 238,084.32

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Solution

The fourth proportional to 429,071.34, 592,116.54 and 238,084.32 is: 328,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,071.34 : 592,116.54 = 238,084.32 : x
  2. Step 2: Convert to fraction form
    429,071.34/592,116.54 = 238,084.32/x
  3. Step 3: Cross multiply
    429,071.34x = 592,116.54 × 238,084.32
  4. Step 4: Simplify right side
    429,071.34x = 140,973,663,786.65
  5. Step 5: Solve for x
    x = 140,973,663,786.65/429,071.34
  6. Step 6: Final answer
    x = 328,555.30

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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.