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Finding the Fourth Proportional to 321,332.16, 443,421.30 and 185,358

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Solution

The fourth proportional to 321,332.16, 443,421.30 and 185,358 is: 255,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,332.16 : 443,421.30 = 185,358 : x
  2. Step 2: Convert to fraction form
    321,332.16/443,421.30 = 185,358/x
  3. Step 3: Cross multiply
    321,332.16x = 443,421.30 × 185,358
  4. Step 4: Simplify right side
    321,332.16x = 82,191,685,325.40
  5. Step 5: Solve for x
    x = 82,191,685,325.40/321,332.16
  6. Step 6: Final answer
    x = 255,784.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.