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Finding the Fourth Proportional to 314,005.82, 433,323.95 and 170,762.81

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Solution

The fourth proportional to 314,005.82, 433,323.95 and 170,762.81 is: 235,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,005.82 : 433,323.95 = 170,762.81 : x
  2. Step 2: Convert to fraction form
    314,005.82/433,323.95 = 170,762.81/x
  3. Step 3: Cross multiply
    314,005.82x = 433,323.95 × 170,762.81
  4. Step 4: Simplify right side
    314,005.82x = 73,995,612,321.87
  5. Step 5: Solve for x
    x = 73,995,612,321.87/314,005.82
  6. Step 6: Final answer
    x = 235,650.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.