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Finding the Fourth Proportional to 652,403.13, 900,323.42 and 362,019.75

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Solution

The fourth proportional to 652,403.13, 900,323.42 and 362,019.75 is: 499,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,403.13 : 900,323.42 = 362,019.75 : x
  2. Step 2: Convert to fraction form
    652,403.13/900,323.42 = 362,019.75/x
  3. Step 3: Cross multiply
    652,403.13x = 900,323.42 × 362,019.75
  4. Step 4: Simplify right side
    652,403.13x = 325,934,857,617.45
  5. Step 5: Solve for x
    x = 325,934,857,617.45/652,403.13
  6. Step 6: Final answer
    x = 499,591.19

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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.