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Finding the Fourth Proportional to 307,604.40, 461,242.08 and 157,783.44

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Solution

The fourth proportional to 307,604.40, 461,242.08 and 157,783.44 is: 236,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,604.40 : 461,242.08 = 157,783.44 : x
  2. Step 2: Convert to fraction form
    307,604.40/461,242.08 = 157,783.44/x
  3. Step 3: Cross multiply
    307,604.40x = 461,242.08 × 157,783.44
  4. Step 4: Simplify right side
    307,604.40x = 72,776,362,055.16
  5. Step 5: Solve for x
    x = 72,776,362,055.16/307,604.40
  6. Step 6: Final answer
    x = 236,590.77

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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.