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Finding the Fourth Proportional to 576,259.61, 863,689.56 and 407,829.17

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Solution

The fourth proportional to 576,259.61, 863,689.56 and 407,829.17 is: 611,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,259.61 : 863,689.56 = 407,829.17 : x
  2. Step 2: Convert to fraction form
    576,259.61/863,689.56 = 407,829.17/x
  3. Step 3: Cross multiply
    576,259.61x = 863,689.56 × 407,829.17
  4. Step 4: Simplify right side
    576,259.61x = 352,237,792,074.02
  5. Step 5: Solve for x
    x = 352,237,792,074.02/576,259.61
  6. Step 6: Final answer
    x = 611,248.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.