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Finding the Fourth Proportional to 538,458.84, 807,532.72 and 183,465

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Solution

The fourth proportional to 538,458.84, 807,532.72 and 183,465 is: 275,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,458.84 : 807,532.72 = 183,465 : x
  2. Step 2: Convert to fraction form
    538,458.84/807,532.72 = 183,465/x
  3. Step 3: Cross multiply
    538,458.84x = 807,532.72 × 183,465
  4. Step 4: Simplify right side
    538,458.84x = 148,153,990,474.80
  5. Step 5: Solve for x
    x = 148,153,990,474.80/538,458.84
  6. Step 6: Final answer
    x = 275,144.50

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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.