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Finding the Fourth Proportional to 384,218.60, 576,327.90 and 360,871.40

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Solution

The fourth proportional to 384,218.60, 576,327.90 and 360,871.40 is: 541,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,218.60 : 576,327.90 = 360,871.40 : x
  2. Step 2: Convert to fraction form
    384,218.60/576,327.90 = 360,871.40/x
  3. Step 3: Cross multiply
    384,218.60x = 576,327.90 × 360,871.40
  4. Step 4: Simplify right side
    384,218.60x = 207,980,256,132.06
  5. Step 5: Solve for x
    x = 207,980,256,132.06/384,218.60
  6. Step 6: Final answer
    x = 541,307.10

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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.