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Finding the Fourth Proportional to 470,766.64, 649,681.68 and 289,488.64

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Solution

The fourth proportional to 470,766.64, 649,681.68 and 289,488.64 is: 399,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,766.64 : 649,681.68 = 289,488.64 : x
  2. Step 2: Convert to fraction form
    470,766.64/649,681.68 = 289,488.64/x
  3. Step 3: Cross multiply
    470,766.64x = 649,681.68 × 289,488.64
  4. Step 4: Simplify right side
    470,766.64x = 188,075,465,976.12
  5. Step 5: Solve for x
    x = 188,075,465,976.12/470,766.64
  6. Step 6: Final answer
    x = 399,508.91

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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.