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Finding the Fourth Proportional to 429,114.42, 592,159.95 and 238,116.42

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Solution

The fourth proportional to 429,114.42, 592,159.95 and 238,116.42 is: 328,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,114.42 : 592,159.95 = 238,116.42 : x
  2. Step 2: Convert to fraction form
    429,114.42/592,159.95 = 238,116.42/x
  3. Step 3: Cross multiply
    429,114.42x = 592,159.95 × 238,116.42
  4. Step 4: Simplify right side
    429,114.42x = 141,003,007,361.38
  5. Step 5: Solve for x
    x = 141,003,007,361.38/429,114.42
  6. Step 6: Final answer
    x = 328,590.70

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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.