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Finding the Fourth Proportional to 384,030.40, 576,045.60 and 338,929.60

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Solution

The fourth proportional to 384,030.40, 576,045.60 and 338,929.60 is: 508,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,030.40 : 576,045.60 = 338,929.60 : x
  2. Step 2: Convert to fraction form
    384,030.40/576,045.60 = 338,929.60/x
  3. Step 3: Cross multiply
    384,030.40x = 576,045.60 × 338,929.60
  4. Step 4: Simplify right side
    384,030.40x = 195,238,904,789.76
  5. Step 5: Solve for x
    x = 195,238,904,789.76/384,030.40
  6. Step 6: Final answer
    x = 508,394.40

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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.