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Finding the Fourth Proportional to 378,417.02, 566,492.13 and 364,958.66

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Solution

The fourth proportional to 378,417.02, 566,492.13 and 364,958.66 is: 546,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,417.02 : 566,492.13 = 364,958.66 : x
  2. Step 2: Convert to fraction form
    378,417.02/566,492.13 = 364,958.66/x
  3. Step 3: Cross multiply
    378,417.02x = 566,492.13 × 364,958.66
  4. Step 4: Simplify right side
    378,417.02x = 206,746,210,081.58
  5. Step 5: Solve for x
    x = 206,746,210,081.58/378,417.02
  6. Step 6: Final answer
    x = 546,344.91

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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.