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Finding the Fourth Proportional to 706,506.58, 974,969.91 and 384,209.76

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Solution

The fourth proportional to 706,506.58, 974,969.91 and 384,209.76 is: 530,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,506.58 : 974,969.91 = 384,209.76 : x
  2. Step 2: Convert to fraction form
    706,506.58/974,969.91 = 384,209.76/x
  3. Step 3: Cross multiply
    706,506.58x = 974,969.91 × 384,209.76
  4. Step 4: Simplify right side
    706,506.58x = 374,592,955,128.32
  5. Step 5: Solve for x
    x = 374,592,955,128.32/706,506.58
  6. Step 6: Final answer
    x = 530,204.48

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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.