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Finding the Fourth Proportional to 530,140.95, 732,035.93 and 491,676.48

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Solution

The fourth proportional to 530,140.95, 732,035.93 and 491,676.48 is: 678,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,140.95 : 732,035.93 = 491,676.48 : x
  2. Step 2: Convert to fraction form
    530,140.95/732,035.93 = 491,676.48/x
  3. Step 3: Cross multiply
    530,140.95x = 732,035.93 × 491,676.48
  4. Step 4: Simplify right side
    530,140.95x = 359,924,846,837.54
  5. Step 5: Solve for x
    x = 359,924,846,837.54/530,140.95
  6. Step 6: Final answer
    x = 678,922.93

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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.