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Finding the Fourth Proportional to 1,567,164.65, 2,350,746.98 and 1,567,164.65

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Solution

The fourth proportional to 1,567,164.65, 2,350,746.98 and 1,567,164.65 is: 2,350,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,164.65 : 2,350,746.98 = 1,567,164.65 : x
  2. Step 2: Convert to fraction form
    1,567,164.65/2,350,746.98 = 1,567,164.65/x
  3. Step 3: Cross multiply
    1,567,164.65x = 2,350,746.98 × 1,567,164.65
  4. Step 4: Simplify right side
    1,567,164.65x = 3,684,007,568,150.26
  5. Step 5: Solve for x
    x = 3,684,007,568,150.26/1,567,164.65
  6. Step 6: Final answer
    x = 2,350,746.98

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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.