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Finding the Fourth Proportional to 649,409.92, 973,656.96 and 249,714.88

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Solution

The fourth proportional to 649,409.92, 973,656.96 and 249,714.88 is: 374,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,409.92 : 973,656.96 = 249,714.88 : x
  2. Step 2: Convert to fraction form
    649,409.92/973,656.96 = 249,714.88/x
  3. Step 3: Cross multiply
    649,409.92x = 973,656.96 × 249,714.88
  4. Step 4: Simplify right side
    649,409.92x = 243,136,630,927.57
  5. Step 5: Solve for x
    x = 243,136,630,927.57/649,409.92
  6. Step 6: Final answer
    x = 374,396.24

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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.