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Finding the Fourth Proportional to 295,010, 442,477.32 and 95,309.66

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Solution

The fourth proportional to 295,010, 442,477.32 and 95,309.66 is: 142,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,010 : 442,477.32 = 95,309.66 : x
  2. Step 2: Convert to fraction form
    295,010/442,477.32 = 95,309.66/x
  3. Step 3: Cross multiply
    295,010x = 442,477.32 × 95,309.66
  4. Step 4: Simplify right side
    295,010x = 42,172,362,926.91
  5. Step 5: Solve for x
    x = 42,172,362,926.91/295,010
  6. Step 6: Final answer
    x = 142,952.32

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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.