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Finding the Fourth Proportional to 524,710.48, 724,097.12 and 298,356

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Solution

The fourth proportional to 524,710.48, 724,097.12 and 298,356 is: 411,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,710.48 : 724,097.12 = 298,356 : x
  2. Step 2: Convert to fraction form
    524,710.48/724,097.12 = 298,356/x
  3. Step 3: Cross multiply
    524,710.48x = 724,097.12 × 298,356
  4. Step 4: Simplify right side
    524,710.48x = 216,038,720,334.72
  5. Step 5: Solve for x
    x = 216,038,720,334.72/524,710.48
  6. Step 6: Final answer
    x = 411,729.38

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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.