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Finding the Fourth Proportional to 706,594.72, 975,107.82 and 384,312.28

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Solution

The fourth proportional to 706,594.72, 975,107.82 and 384,312.28 is: 530,354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,594.72 : 975,107.82 = 384,312.28 : x
  2. Step 2: Convert to fraction form
    706,594.72/975,107.82 = 384,312.28/x
  3. Step 3: Cross multiply
    706,594.72x = 975,107.82 × 384,312.28
  4. Step 4: Simplify right side
    706,594.72x = 374,745,909,550.03
  5. Step 5: Solve for x
    x = 374,745,909,550.03/706,594.72
  6. Step 6: Final answer
    x = 530,354.81

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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.