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Finding the Fourth Proportional to 461,925.54, 692,907.72 and 225,467.10

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Solution

The fourth proportional to 461,925.54, 692,907.72 and 225,467.10 is: 338,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,925.54 : 692,907.72 = 225,467.10 : x
  2. Step 2: Convert to fraction form
    461,925.54/692,907.72 = 225,467.10/x
  3. Step 3: Cross multiply
    461,925.54x = 692,907.72 × 225,467.10
  4. Step 4: Simplify right side
    461,925.54x = 156,227,894,196.01
  5. Step 5: Solve for x
    x = 156,227,894,196.01/461,925.54
  6. Step 6: Final answer
    x = 338,210.12

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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.