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Finding the Fourth Proportional to 298,411.52, 447,663.44 and 98,782.16

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Solution

The fourth proportional to 298,411.52, 447,663.44 and 98,782.16 is: 148,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,411.52 : 447,663.44 = 98,782.16 : x
  2. Step 2: Convert to fraction form
    298,411.52/447,663.44 = 98,782.16/x
  3. Step 3: Cross multiply
    298,411.52x = 447,663.44 × 98,782.16
  4. Step 4: Simplify right side
    298,411.52x = 44,221,159,564.87
  5. Step 5: Solve for x
    x = 44,221,159,564.87/298,411.52
  6. Step 6: Final answer
    x = 148,188.52

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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.