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Finding the Fourth Proportional to 384,001.60, 576,002.40 and 384,001.60

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Solution

The fourth proportional to 384,001.60, 576,002.40 and 384,001.60 is: 576,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,001.60 : 576,002.40 = 384,001.60 : x
  2. Step 2: Convert to fraction form
    384,001.60/576,002.40 = 384,001.60/x
  3. Step 3: Cross multiply
    384,001.60x = 576,002.40 × 384,001.60
  4. Step 4: Simplify right side
    384,001.60x = 221,185,843,203.84
  5. Step 5: Solve for x
    x = 221,185,843,203.84/384,001.60
  6. Step 6: Final answer
    x = 576,002.40

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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.