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Finding the Fourth Proportional to 302,315.94, 452,975.64 and 175,600.50

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Solution

The fourth proportional to 302,315.94, 452,975.64 and 175,600.50 is: 263,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,315.94 : 452,975.64 = 175,600.50 : x
  2. Step 2: Convert to fraction form
    302,315.94/452,975.64 = 175,600.50/x
  3. Step 3: Cross multiply
    302,315.94x = 452,975.64 × 175,600.50
  4. Step 4: Simplify right side
    302,315.94x = 79,542,748,871.82
  5. Step 5: Solve for x
    x = 79,542,748,871.82/302,315.94
  6. Step 6: Final answer
    x = 263,111.33

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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.