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Finding the Fourth Proportional to 3,223,468.16, 4,834,159.75 and 1,064,008.16

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Solution

The fourth proportional to 3,223,468.16, 4,834,159.75 and 1,064,008.16 is: 1,595,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223,468.16 : 4,834,159.75 = 1,064,008.16 : x
  2. Step 2: Convert to fraction form
    3,223,468.16/4,834,159.75 = 1,064,008.16/x
  3. Step 3: Cross multiply
    3,223,468.16x = 4,834,159.75 × 1,064,008.16
  4. Step 4: Simplify right side
    3,223,468.16x = 5,143,585,420,743.56
  5. Step 5: Solve for x
    x = 5,143,585,420,743.56/3,223,468.16
  6. Step 6: Final answer
    x = 1,595,668.13

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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.