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Finding the Fourth Proportional to 706,097.64, 974,421.24 and 383,808.48

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Solution

The fourth proportional to 706,097.64, 974,421.24 and 383,808.48 is: 529,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,097.64 : 974,421.24 = 383,808.48 : x
  2. Step 2: Convert to fraction form
    706,097.64/974,421.24 = 383,808.48/x
  3. Step 3: Cross multiply
    706,097.64x = 974,421.24 × 383,808.48
  4. Step 4: Simplify right side
    706,097.64x = 373,991,135,004.12
  5. Step 5: Solve for x
    x = 373,991,135,004.12/706,097.64
  6. Step 6: Final answer
    x = 529,659.23

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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.