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Finding the Fourth Proportional to 405,716.68, 605,602.49 and 357,834.52

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Solution

The fourth proportional to 405,716.68, 605,602.49 and 357,834.52 is: 534,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,716.68 : 605,602.49 = 357,834.52 : x
  2. Step 2: Convert to fraction form
    405,716.68/605,602.49 = 357,834.52/x
  3. Step 3: Cross multiply
    405,716.68x = 605,602.49 × 357,834.52
  4. Step 4: Simplify right side
    405,716.68x = 216,705,476,319.96
  5. Step 5: Solve for x
    x = 216,705,476,319.96/405,716.68
  6. Step 6: Final answer
    x = 534,130.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.