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Finding the Fourth Proportional to 524,779.56, 724,192.10 and 298,425

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Solution

The fourth proportional to 524,779.56, 724,192.10 and 298,425 is: 411,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,779.56 : 724,192.10 = 298,425 : x
  2. Step 2: Convert to fraction form
    524,779.56/724,192.10 = 298,425/x
  3. Step 3: Cross multiply
    524,779.56x = 724,192.10 × 298,425
  4. Step 4: Simplify right side
    524,779.56x = 216,117,027,442.50
  5. Step 5: Solve for x
    x = 216,117,027,442.50/524,779.56
  6. Step 6: Final answer
    x = 411,824.40

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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.