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Finding the Fourth Proportional to 650,139.16, 974,858.08 and 294,959.40

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Solution

The fourth proportional to 650,139.16, 974,858.08 and 294,959.40 is: 442,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,139.16 : 974,858.08 = 294,959.40 : x
  2. Step 2: Convert to fraction form
    650,139.16/974,858.08 = 294,959.40/x
  3. Step 3: Cross multiply
    650,139.16x = 974,858.08 × 294,959.40
  4. Step 4: Simplify right side
    650,139.16x = 287,543,554,361.95
  5. Step 5: Solve for x
    x = 287,543,554,361.95/650,139.16
  6. Step 6: Final answer
    x = 442,280.01

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Why These Related Problems?

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