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Finding the Fourth Proportional to 594,395.96, 891,729.81 and 257,492.66

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Solution

The fourth proportional to 594,395.96, 891,729.81 and 257,492.66 is: 386,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,395.96 : 891,729.81 = 257,492.66 : x
  2. Step 2: Convert to fraction form
    594,395.96/891,729.81 = 257,492.66/x
  3. Step 3: Cross multiply
    594,395.96x = 891,729.81 × 257,492.66
  4. Step 4: Simplify right side
    594,395.96x = 229,613,876,319.55
  5. Step 5: Solve for x
    x = 229,613,876,319.55/594,395.96
  6. Step 6: Final answer
    x = 386,297.84

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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.