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Finding the Fourth Proportional to 706,391.40, 974,806.34 and 384,098.68

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Solution

The fourth proportional to 706,391.40, 974,806.34 and 384,098.68 is: 530,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,391.40 : 974,806.34 = 384,098.68 : x
  2. Step 2: Convert to fraction form
    706,391.40/974,806.34 = 384,098.68/x
  3. Step 3: Cross multiply
    706,391.40x = 974,806.34 × 384,098.68
  4. Step 4: Simplify right side
    706,391.40x = 374,421,828,449.63
  5. Step 5: Solve for x
    x = 374,421,828,449.63/706,391.40
  6. Step 6: Final answer
    x = 530,048.68

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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.