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Finding the Fourth Proportional to 446,903.40, 670,355.10 and 147,430.20

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Solution

The fourth proportional to 446,903.40, 670,355.10 and 147,430.20 is: 221,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,903.40 : 670,355.10 = 147,430.20 : x
  2. Step 2: Convert to fraction form
    446,903.40/670,355.10 = 147,430.20/x
  3. Step 3: Cross multiply
    446,903.40x = 670,355.10 × 147,430.20
  4. Step 4: Simplify right side
    446,903.40x = 98,830,586,464.02
  5. Step 5: Solve for x
    x = 98,830,586,464.02/446,903.40
  6. Step 6: Final answer
    x = 221,145.30

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Similar ratio
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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.