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Finding the Fourth Proportional to 706,507.58, 974,971.29 and 384,210.76

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Solution

The fourth proportional to 706,507.58, 974,971.29 and 384,210.76 is: 530,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,507.58 : 974,971.29 = 384,210.76 : x
  2. Step 2: Convert to fraction form
    706,507.58/974,971.29 = 384,210.76/x
  3. Step 3: Cross multiply
    706,507.58x = 974,971.29 × 384,210.76
  4. Step 4: Simplify right side
    706,507.58x = 374,594,460,309.08
  5. Step 5: Solve for x
    x = 374,594,460,309.08/706,507.58
  6. Step 6: Final answer
    x = 530,205.86

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1.5x scale

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.