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Finding the Fourth Proportional to 320,435.40, 480,653.10 and 306,784.20

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Solution

The fourth proportional to 320,435.40, 480,653.10 and 306,784.20 is: 460,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,435.40 : 480,653.10 = 306,784.20 : x
  2. Step 2: Convert to fraction form
    320,435.40/480,653.10 = 306,784.20/x
  3. Step 3: Cross multiply
    320,435.40x = 480,653.10 × 306,784.20
  4. Step 4: Simplify right side
    320,435.40x = 147,456,776,761.02
  5. Step 5: Solve for x
    x = 147,456,776,761.02/320,435.40
  6. Step 6: Final answer
    x = 460,176.30

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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.