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Finding the Fourth Proportional to 458,298.80, 687,448.20 and 384,815.60

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Solution

The fourth proportional to 458,298.80, 687,448.20 and 384,815.60 is: 577,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,298.80 : 687,448.20 = 384,815.60 : x
  2. Step 2: Convert to fraction form
    458,298.80/687,448.20 = 384,815.60/x
  3. Step 3: Cross multiply
    458,298.80x = 687,448.20 × 384,815.60
  4. Step 4: Simplify right side
    458,298.80x = 264,540,791,551.92
  5. Step 5: Solve for x
    x = 264,540,791,551.92/458,298.80
  6. Step 6: Final answer
    x = 577,223.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.