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Finding the Fourth Proportional to 403,214.20, 604,894.20 and 203,030.80

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Solution

The fourth proportional to 403,214.20, 604,894.20 and 203,030.80 is: 304,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,214.20 : 604,894.20 = 203,030.80 : x
  2. Step 2: Convert to fraction form
    403,214.20/604,894.20 = 203,030.80/x
  3. Step 3: Cross multiply
    403,214.20x = 604,894.20 × 203,030.80
  4. Step 4: Simplify right side
    403,214.20x = 122,812,153,341.36
  5. Step 5: Solve for x
    x = 122,812,153,341.36/403,214.20
  6. Step 6: Final answer
    x = 304,582.91

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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.