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Finding the Fourth Proportional to 294,294, 441,445.16 and 83,931.95

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Solution

The fourth proportional to 294,294, 441,445.16 and 83,931.95 is: 125,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,294 : 441,445.16 = 83,931.95 : x
  2. Step 2: Convert to fraction form
    294,294/441,445.16 = 83,931.95/x
  3. Step 3: Cross multiply
    294,294x = 441,445.16 × 83,931.95
  4. Step 4: Simplify right side
    294,294x = 37,051,350,469.98
  5. Step 5: Solve for x
    x = 37,051,350,469.98/294,294
  6. Step 6: Final answer
    x = 125,899.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.