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Finding the Fourth Proportional to 653,319.84, 980,118.27 and 232,594.50

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Solution

The fourth proportional to 653,319.84, 980,118.27 and 232,594.50 is: 348,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,319.84 : 980,118.27 = 232,594.50 : x
  2. Step 2: Convert to fraction form
    653,319.84/980,118.27 = 232,594.50/x
  3. Step 3: Cross multiply
    653,319.84x = 980,118.27 × 232,594.50
  4. Step 4: Simplify right side
    653,319.84x = 227,970,118,951.52
  5. Step 5: Solve for x
    x = 227,970,118,951.52/653,319.84
  6. Step 6: Final answer
    x = 348,941.06

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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.