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Finding the Fourth Proportional to 288,330.60, 432,494.88 and 77,968.52

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Solution

The fourth proportional to 288,330.60, 432,494.88 and 77,968.52 is: 116,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,330.60 : 432,494.88 = 77,968.52 : x
  2. Step 2: Convert to fraction form
    288,330.60/432,494.88 = 77,968.52/x
  3. Step 3: Cross multiply
    288,330.60x = 432,494.88 × 77,968.52
  4. Step 4: Simplify right side
    288,330.60x = 33,720,985,701.18
  5. Step 5: Solve for x
    x = 33,720,985,701.18/288,330.60
  6. Step 6: Final answer
    x = 116,952.50

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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.