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Finding the Fourth Proportional to 484,602.96, 726,862.88 and 295,014.16

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Solution

The fourth proportional to 484,602.96, 726,862.88 and 295,014.16 is: 442,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,602.96 : 726,862.88 = 295,014.16 : x
  2. Step 2: Convert to fraction form
    484,602.96/726,862.88 = 295,014.16/x
  3. Step 3: Cross multiply
    484,602.96x = 726,862.88 × 295,014.16
  4. Step 4: Simplify right side
    484,602.96x = 214,434,841,978.38
  5. Step 5: Solve for x
    x = 214,434,841,978.38/484,602.96
  6. Step 6: Final answer
    x = 442,495.94

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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.