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Finding the Fourth Proportional to 288,324.60, 432,485.88 and 77,962.52

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Solution

The fourth proportional to 288,324.60, 432,485.88 and 77,962.52 is: 116,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,324.60 : 432,485.88 = 77,962.52 : x
  2. Step 2: Convert to fraction form
    288,324.60/432,485.88 = 77,962.52/x
  3. Step 3: Cross multiply
    288,324.60x = 432,485.88 × 77,962.52
  4. Step 4: Simplify right side
    288,324.60x = 33,717,689,069.22
  5. Step 5: Solve for x
    x = 33,717,689,069.22/288,324.60
  6. Step 6: Final answer
    x = 116,943.50

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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.