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Finding the Fourth Proportional to 369,988.78, 511,074.58 and 297,664

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Solution

The fourth proportional to 369,988.78, 511,074.58 and 297,664 is: 411,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,988.78 : 511,074.58 = 297,664 : x
  2. Step 2: Convert to fraction form
    369,988.78/511,074.58 = 297,664/x
  3. Step 3: Cross multiply
    369,988.78x = 511,074.58 × 297,664
  4. Step 4: Simplify right side
    369,988.78x = 152,128,503,781.12
  5. Step 5: Solve for x
    x = 152,128,503,781.12/369,988.78
  6. Step 6: Final answer
    x = 411,170.59

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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.