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Finding the Fourth Proportional to 403,214.40, 604,821.60 and 341,006.40

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Solution

The fourth proportional to 403,214.40, 604,821.60 and 341,006.40 is: 511,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,214.40 : 604,821.60 = 341,006.40 : x
  2. Step 2: Convert to fraction form
    403,214.40/604,821.60 = 341,006.40/x
  3. Step 3: Cross multiply
    403,214.40x = 604,821.60 × 341,006.40
  4. Step 4: Simplify right side
    403,214.40x = 206,248,036,458.24
  5. Step 5: Solve for x
    x = 206,248,036,458.24/403,214.40
  6. Step 6: Final answer
    x = 511,509.60

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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.