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Finding the Fourth Proportional to 473,054, 652,814.52 and 322,414.16

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Solution

The fourth proportional to 473,054, 652,814.52 and 322,414.16 is: 444,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,054 : 652,814.52 = 322,414.16 : x
  2. Step 2: Convert to fraction form
    473,054/652,814.52 = 322,414.16/x
  3. Step 3: Cross multiply
    473,054x = 652,814.52 × 322,414.16
  4. Step 4: Simplify right side
    473,054x = 210,476,645,101.60
  5. Step 5: Solve for x
    x = 210,476,645,101.60/473,054
  6. Step 6: Final answer
    x = 444,931.54

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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.