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Finding the Fourth Proportional to 423,586.08, 584,559 and 230,002.02

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Solution

The fourth proportional to 423,586.08, 584,559 and 230,002.02 is: 317,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,586.08 : 584,559 = 230,002.02 : x
  2. Step 2: Convert to fraction form
    423,586.08/584,559 = 230,002.02/x
  3. Step 3: Cross multiply
    423,586.08x = 584,559 × 230,002.02
  4. Step 4: Simplify right side
    423,586.08x = 134,449,750,809.18
  5. Step 5: Solve for x
    x = 134,449,750,809.18/423,586.08
  6. Step 6: Final answer
    x = 317,408.33

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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.