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Finding the Fourth Proportional to 649,393.60, 895,582.92 and 407,698.69

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Solution

The fourth proportional to 649,393.60, 895,582.92 and 407,698.69 is: 562,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,393.60 : 895,582.92 = 407,698.69 : x
  2. Step 2: Convert to fraction form
    649,393.60/895,582.92 = 407,698.69/x
  3. Step 3: Cross multiply
    649,393.60x = 895,582.92 × 407,698.69
  4. Step 4: Simplify right side
    649,393.60x = 365,127,983,270.38
  5. Step 5: Solve for x
    x = 365,127,983,270.38/649,393.60
  6. Step 6: Final answer
    x = 562,259.90

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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.