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Finding the Fourth Proportional to 397,106.01, 548,019.54 and 233,732.93

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Solution

The fourth proportional to 397,106.01, 548,019.54 and 233,732.93 is: 322,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,106.01 : 548,019.54 = 233,732.93 : x
  2. Step 2: Convert to fraction form
    397,106.01/548,019.54 = 233,732.93/x
  3. Step 3: Cross multiply
    397,106.01x = 548,019.54 × 233,732.93
  4. Step 4: Simplify right side
    397,106.01x = 128,090,210,041.36
  5. Step 5: Solve for x
    x = 128,090,210,041.36/397,106.01
  6. Step 6: Final answer
    x = 322,559.23

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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.