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Finding the Fourth Proportional to 367,465.32, 507,089.01 and 206,327.16

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Solution

The fourth proportional to 367,465.32, 507,089.01 and 206,327.16 is: 284,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,465.32 : 507,089.01 = 206,327.16 : x
  2. Step 2: Convert to fraction form
    367,465.32/507,089.01 = 206,327.16/x
  3. Step 3: Cross multiply
    367,465.32x = 507,089.01 × 206,327.16
  4. Step 4: Simplify right side
    367,465.32x = 104,626,235,300.51
  5. Step 5: Solve for x
    x = 104,626,235,300.51/367,465.32
  6. Step 6: Final answer
    x = 284,724.11

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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.