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Finding the Fourth Proportional to 532,785, 735,243.30 and 294,321

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Solution

The fourth proportional to 532,785, 735,243.30 and 294,321 is: 406,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,785 : 735,243.30 = 294,321 : x
  2. Step 2: Convert to fraction form
    532,785/735,243.30 = 294,321/x
  3. Step 3: Cross multiply
    532,785x = 735,243.30 × 294,321
  4. Step 4: Simplify right side
    532,785x = 216,397,543,299.30
  5. Step 5: Solve for x
    x = 216,397,543,299.30/532,785
  6. Step 6: Final answer
    x = 406,162.98

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Why These Related Problems?

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