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Finding the Fourth Proportional to 429,066.88, 592,083.84 and 238,068.16

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Solution

The fourth proportional to 429,066.88, 592,083.84 and 238,068.16 is: 328,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,066.88 : 592,083.84 = 238,068.16 : x
  2. Step 2: Convert to fraction form
    429,066.88/592,083.84 = 238,068.16/x
  3. Step 3: Cross multiply
    429,066.88x = 592,083.84 × 238,068.16
  4. Step 4: Simplify right side
    429,066.88x = 140,956,310,354.53
  5. Step 5: Solve for x
    x = 140,956,310,354.53/429,066.88
  6. Step 6: Final answer
    x = 328,518.27

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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.