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Finding the Fourth Proportional to 307,574.90, 461,362.35 and 97,277.30

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Solution

The fourth proportional to 307,574.90, 461,362.35 and 97,277.30 is: 145,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,574.90 : 461,362.35 = 97,277.30 : x
  2. Step 2: Convert to fraction form
    307,574.90/461,362.35 = 97,277.30/x
  3. Step 3: Cross multiply
    307,574.90x = 461,362.35 × 97,277.30
  4. Step 4: Simplify right side
    307,574.90x = 44,880,083,729.66
  5. Step 5: Solve for x
    x = 44,880,083,729.66/307,574.90
  6. Step 6: Final answer
    x = 145,915.95

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1.5x scale

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.