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Finding the Fourth Proportional to 706,507.85, 974,971.62 and 384,211.01

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Solution

The fourth proportional to 706,507.85, 974,971.62 and 384,211.01 is: 530,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,507.85 : 974,971.62 = 384,211.01 : x
  2. Step 2: Convert to fraction form
    706,507.85/974,971.62 = 384,211.01/x
  3. Step 3: Cross multiply
    706,507.85x = 974,971.62 × 384,211.01
  4. Step 4: Simplify right side
    706,507.85x = 374,594,825,966.68
  5. Step 5: Solve for x
    x = 374,594,825,966.68/706,507.85
  6. Step 6: Final answer
    x = 530,206.18

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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.