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Finding the Fourth Proportional to 384,943.60, 577,415.40 and 346,452.40

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Solution

The fourth proportional to 384,943.60, 577,415.40 and 346,452.40 is: 519,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,943.60 : 577,415.40 = 346,452.40 : x
  2. Step 2: Convert to fraction form
    384,943.60/577,415.40 = 346,452.40/x
  3. Step 3: Cross multiply
    384,943.60x = 577,415.40 × 346,452.40
  4. Step 4: Simplify right side
    384,943.60x = 200,046,951,126.96
  5. Step 5: Solve for x
    x = 200,046,951,126.96/384,943.60
  6. Step 6: Final answer
    x = 519,678.60

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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.