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Finding the Fourth Proportional to 495,009.99, 741,259.01 and 414,837.14

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Solution

The fourth proportional to 495,009.99, 741,259.01 and 414,837.14 is: 621,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,009.99 : 741,259.01 = 414,837.14 : x
  2. Step 2: Convert to fraction form
    495,009.99/741,259.01 = 414,837.14/x
  3. Step 3: Cross multiply
    495,009.99x = 741,259.01 × 414,837.14
  4. Step 4: Simplify right side
    495,009.99x = 307,501,765,038.43
  5. Step 5: Solve for x
    x = 307,501,765,038.43/495,009.99
  6. Step 6: Final answer
    x = 621,203.15

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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.