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Finding the Fourth Proportional to 306,952.30, 460,428.45 and 293,174.20

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Solution

The fourth proportional to 306,952.30, 460,428.45 and 293,174.20 is: 439,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,952.30 : 460,428.45 = 293,174.20 : x
  2. Step 2: Convert to fraction form
    306,952.30/460,428.45 = 293,174.20/x
  3. Step 3: Cross multiply
    306,952.30x = 460,428.45 × 293,174.20
  4. Step 4: Simplify right side
    306,952.30x = 134,985,742,485.99
  5. Step 5: Solve for x
    x = 134,985,742,485.99/306,952.30
  6. Step 6: Final answer
    x = 439,761.30

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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.