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Finding the Fourth Proportional to 659,032.08, 909,463.40 and 357,226

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Solution

The fourth proportional to 659,032.08, 909,463.40 and 357,226 is: 492,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,032.08 : 909,463.40 = 357,226 : x
  2. Step 2: Convert to fraction form
    659,032.08/909,463.40 = 357,226/x
  3. Step 3: Cross multiply
    659,032.08x = 909,463.40 × 357,226
  4. Step 4: Simplify right side
    659,032.08x = 324,883,972,528.40
  5. Step 5: Solve for x
    x = 324,883,972,528.40/659,032.08
  6. Step 6: Final answer
    x = 492,971.41

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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.