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Finding the Fourth Proportional to 524,735.96, 724,069.14 and 298,386.32

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Solution

The fourth proportional to 524,735.96, 724,069.14 and 298,386.32 is: 411,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,735.96 : 724,069.14 = 298,386.32 : x
  2. Step 2: Convert to fraction form
    524,735.96/724,069.14 = 298,386.32/x
  3. Step 3: Cross multiply
    524,735.96x = 724,069.14 × 298,386.32
  4. Step 4: Simplify right side
    524,735.96x = 216,052,326,110.17
  5. Step 5: Solve for x
    x = 216,052,326,110.17/524,735.96
  6. Step 6: Final answer
    x = 411,735.32

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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.