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Finding the Fourth Proportional to 706,302.96, 974,693.15 and 384,013.05

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Solution

The fourth proportional to 706,302.96, 974,693.15 and 384,013.05 is: 529,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,302.96 : 974,693.15 = 384,013.05 : x
  2. Step 2: Convert to fraction form
    706,302.96/974,693.15 = 384,013.05/x
  3. Step 3: Cross multiply
    706,302.96x = 974,693.15 × 384,013.05
  4. Step 4: Simplify right side
    706,302.96x = 374,294,889,345.61
  5. Step 5: Solve for x
    x = 374,294,889,345.61/706,302.96
  6. Step 6: Final answer
    x = 529,935.33

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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.