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Finding the Fourth Proportional to 649,451.92, 895,663.14 and 407,756.92

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Solution

The fourth proportional to 649,451.92, 895,663.14 and 407,756.92 is: 562,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,451.92 : 895,663.14 = 407,756.92 : x
  2. Step 2: Convert to fraction form
    649,451.92/895,663.14 = 407,756.92/x
  3. Step 3: Cross multiply
    649,451.92x = 895,663.14 × 407,756.92
  4. Step 4: Simplify right side
    649,451.92x = 365,212,843,323.93
  5. Step 5: Solve for x
    x = 365,212,843,323.93/649,451.92
  6. Step 6: Final answer
    x = 562,340.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.