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Finding the Fourth Proportional to 464,051.16, 695,963.28 and 148,442.76

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Solution

The fourth proportional to 464,051.16, 695,963.28 and 148,442.76 is: 222,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,051.16 : 695,963.28 = 148,442.76 : x
  2. Step 2: Convert to fraction form
    464,051.16/695,963.28 = 148,442.76/x
  3. Step 3: Cross multiply
    464,051.16x = 695,963.28 × 148,442.76
  4. Step 4: Simplify right side
    464,051.16x = 103,310,710,141.85
  5. Step 5: Solve for x
    x = 103,310,710,141.85/464,051.16
  6. Step 6: Final answer
    x = 222,627.85

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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.