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Finding the Fourth Proportional to 706,506.85, 974,970.24 and 384,210.01

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Solution

The fourth proportional to 706,506.85, 974,970.24 and 384,210.01 is: 530,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,506.85 : 974,970.24 = 384,210.01 : x
  2. Step 2: Convert to fraction form
    706,506.85/974,970.24 = 384,210.01/x
  3. Step 3: Cross multiply
    706,506.85x = 974,970.24 × 384,210.01
  4. Step 4: Simplify right side
    706,506.85x = 374,593,320,785.25
  5. Step 5: Solve for x
    x = 374,593,320,785.25/706,506.85
  6. Step 6: Final answer
    x = 530,204.80

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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.