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Finding the Fourth Proportional to 469,646.97, 648,100.02 and 260,087.61

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Solution

The fourth proportional to 469,646.97, 648,100.02 and 260,087.61 is: 358,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,646.97 : 648,100.02 = 260,087.61 : x
  2. Step 2: Convert to fraction form
    469,646.97/648,100.02 = 260,087.61/x
  3. Step 3: Cross multiply
    469,646.97x = 648,100.02 × 260,087.61
  4. Step 4: Simplify right side
    469,646.97x = 168,562,784,637.15
  5. Step 5: Solve for x
    x = 168,562,784,637.15/469,646.97
  6. Step 6: Final answer
    x = 358,913.81

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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.