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Finding the Fourth Proportional to 659,652.84, 910,322.67 and 357,846.84

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Solution

The fourth proportional to 659,652.84, 910,322.67 and 357,846.84 is: 493,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,652.84 : 910,322.67 = 357,846.84 : x
  2. Step 2: Convert to fraction form
    659,652.84/910,322.67 = 357,846.84/x
  3. Step 3: Cross multiply
    659,652.84x = 910,322.67 × 357,846.84
  4. Step 4: Simplify right side
    659,652.84x = 325,756,090,839.86
  5. Step 5: Solve for x
    x = 325,756,090,839.86/659,652.84
  6. Step 6: Final answer
    x = 493,829.59

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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.