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Finding the Fourth Proportional to 706,392.16, 974,825.76 and 384,105.76

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Solution

The fourth proportional to 706,392.16, 974,825.76 and 384,105.76 is: 530,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,392.16 : 974,825.76 = 384,105.76 : x
  2. Step 2: Convert to fraction form
    706,392.16/974,825.76 = 384,105.76/x
  3. Step 3: Cross multiply
    706,392.16x = 974,825.76 × 384,105.76
  4. Step 4: Simplify right side
    706,392.16x = 374,436,189,412.38
  5. Step 5: Solve for x
    x = 374,436,189,412.38/706,392.16
  6. Step 6: Final answer
    x = 530,068.44

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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.