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Finding the Fourth Proportional to 507,009.15, 760,464.30 and 133,032.15

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Solution

The fourth proportional to 507,009.15, 760,464.30 and 133,032.15 is: 199,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,009.15 : 760,464.30 = 133,032.15 : x
  2. Step 2: Convert to fraction form
    507,009.15/760,464.30 = 133,032.15/x
  3. Step 3: Cross multiply
    507,009.15x = 760,464.30 × 133,032.15
  4. Step 4: Simplify right side
    507,009.15x = 101,166,200,827.25
  5. Step 5: Solve for x
    x = 101,166,200,827.25/507,009.15
  6. Step 6: Final answer
    x = 199,535.26

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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.