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Finding the Fourth Proportional to 384,140.20, 576,210.30 and 344,871.40

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Solution

The fourth proportional to 384,140.20, 576,210.30 and 344,871.40 is: 517,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140.20 : 576,210.30 = 344,871.40 : x
  2. Step 2: Convert to fraction form
    384,140.20/576,210.30 = 344,871.40/x
  3. Step 3: Cross multiply
    384,140.20x = 576,210.30 × 344,871.40
  4. Step 4: Simplify right side
    384,140.20x = 198,718,452,855.42
  5. Step 5: Solve for x
    x = 198,718,452,855.42/384,140.20
  6. Step 6: Final answer
    x = 517,307.10

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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.