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Finding the Fourth Proportional to 473,055, 652,815.90 and 322,415.16

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Solution

The fourth proportional to 473,055, 652,815.90 and 322,415.16 is: 444,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,055 : 652,815.90 = 322,415.16 : x
  2. Step 2: Convert to fraction form
    473,055/652,815.90 = 322,415.16/x
  3. Step 3: Cross multiply
    473,055x = 652,815.90 × 322,415.16
  4. Step 4: Simplify right side
    473,055x = 210,477,742,849.04
  5. Step 5: Solve for x
    x = 210,477,742,849.04/473,055
  6. Step 6: Final answer
    x = 444,932.92

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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.