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Finding the Fourth Proportional to 461,868, 692,822.16 and 146,348.16

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Solution

The fourth proportional to 461,868, 692,822.16 and 146,348.16 is: 219,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,868 : 692,822.16 = 146,348.16 : x
  2. Step 2: Convert to fraction form
    461,868/692,822.16 = 146,348.16/x
  3. Step 3: Cross multiply
    461,868x = 692,822.16 × 146,348.16
  4. Step 4: Simplify right side
    461,868x = 101,393,248,323.23
  5. Step 5: Solve for x
    x = 101,393,248,323.23/461,868
  6. Step 6: Final answer
    x = 219,528.63

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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.