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Finding the Fourth Proportional to 470,033.16, 705,276.92 and 292,494.12

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Solution

The fourth proportional to 470,033.16, 705,276.92 and 292,494.12 is: 438,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,033.16 : 705,276.92 = 292,494.12 : x
  2. Step 2: Convert to fraction form
    470,033.16/705,276.92 = 292,494.12/x
  3. Step 3: Cross multiply
    470,033.16x = 705,276.92 × 292,494.12
  4. Step 4: Simplify right side
    470,033.16x = 206,289,352,071.71
  5. Step 5: Solve for x
    x = 206,289,352,071.71/470,033.16
  6. Step 6: Final answer
    x = 438,882.55

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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.