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Finding the Fourth Proportional to 523,517.77, 785,364.14 and 186,752.58

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Solution

The fourth proportional to 523,517.77, 785,364.14 and 186,752.58 is: 280,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,517.77 : 785,364.14 = 186,752.58 : x
  2. Step 2: Convert to fraction form
    523,517.77/785,364.14 = 186,752.58/x
  3. Step 3: Cross multiply
    523,517.77x = 785,364.14 × 186,752.58
  4. Step 4: Simplify right side
    523,517.77x = 146,668,779,384.48
  5. Step 5: Solve for x
    x = 146,668,779,384.48/523,517.77
  6. Step 6: Final answer
    x = 280,160.08

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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.